From 89bbd1c7a442bea71be76347db5b3162ae206ef3 Mon Sep 17 00:00:00 2001 From: "Albert Y. Shih" Date: Thu, 22 Jan 2026 16:42:39 -0500 Subject: [PATCH 1/9] Fix making an image that is to be placed at a fractional pixel The code now specifies the resampling with the foreknowledge that the resampled image will be placed at the nearest display pixel. This fixes situations where the rendered image can appear to be shifted by up to one display pixel. --- lib/matplotlib/image.py | 38 ++++++++++++++++---------------------- 1 file changed, 16 insertions(+), 22 deletions(-) diff --git a/lib/matplotlib/image.py b/lib/matplotlib/image.py index 483526fcd0a0..9525d7173b8d 100644 --- a/lib/matplotlib/image.py +++ b/lib/matplotlib/image.py @@ -3,7 +3,6 @@ operations. """ -import math import os import logging from pathlib import Path @@ -393,10 +392,15 @@ def _make_image(self, A, in_bbox, out_bbox, clip_bbox, magnification=1.0, if clipped_bbox is None: return None, 0, 0, None - out_width_base = clipped_bbox.width * magnification - out_height_base = clipped_bbox.height * magnification + # Define the magnified bbox after clipping + magnified_extents = clipped_bbox.extents * magnification + if ((not unsampled) and round_to_pixel_border): + # Round to the nearest output pixel + magnified_bbox = Bbox.from_extents((magnified_extents + 0.5).astype(int)) + else: + magnified_bbox = Bbox.from_extents(magnified_extents) - if out_width_base == 0 or out_height_base == 0: + if magnified_bbox.width == 0 or magnified_bbox.height == 0: return None, 0, 0, None if self.origin == 'upper': @@ -417,23 +421,10 @@ def _make_image(self, A, in_bbox, out_bbox, clip_bbox, magnification=1.0, t = (t0 + (Affine2D() - .translate(-clipped_bbox.x0, -clipped_bbox.y0) - .scale(magnification))) - - # So that the image is aligned with the edge of the Axes, we want to - # round up the output width to the next integer. This also means - # scaling the transform slightly to account for the extra subpixel. - if ((not unsampled) and t.is_affine and round_to_pixel_border and - (out_width_base % 1.0 != 0.0 or out_height_base % 1.0 != 0.0)): - out_width = math.ceil(out_width_base) - out_height = math.ceil(out_height_base) - extra_width = (out_width - out_width_base) / out_width_base - extra_height = (out_height - out_height_base) / out_height_base - t += Affine2D().scale(1.0 + extra_width, 1.0 + extra_height) - else: - out_width = int(out_width_base) - out_height = int(out_height_base) - out_shape = (out_height, out_width) + .scale(magnification) + .translate(-magnified_bbox.x0, -magnified_bbox.y0))) + + out_shape = (int(magnified_bbox.height), int(magnified_bbox.width)) if not unsampled: if not (A.ndim == 2 or A.ndim == 3 and A.shape[-1] in (3, 4)): @@ -560,7 +551,10 @@ def _make_image(self, A, in_bbox, out_bbox, clip_bbox, magnification=1.0, t = Affine2D().translate( int(max(subset.xmin, 0)), int(max(subset.ymin, 0))) + t - return output, clipped_bbox.x0, clipped_bbox.y0, t + return (output, + magnified_bbox.x0 / magnification, + magnified_bbox.y0 / magnification, + t) def make_image(self, renderer, magnification=1.0, unsampled=False): """ From 0ecf6604063ae2ddf1ee80fe45c252143de2e14c Mon Sep 17 00:00:00 2001 From: "Albert Y. Shih" Date: Thu, 29 Jan 2026 10:21:19 -0500 Subject: [PATCH 2/9] Fix affine resampling when using nearest-neighbor interpolation The built-in Agg interpolator for determining the nearest-neighbor pixels under an affine transform uses integer-based math, but that results in slight inaccuracies that can become visible at even a minor level of magnification. A custom interpolator that uses floating-point-based math is now used instead. --- src/_image_resample.h | 5 ++- src/_image_wrapper.cpp | 11 ++---- src/agg_workaround.h | 84 ++++++++++++++++++++++++++++++++++++++++++ 3 files changed, 90 insertions(+), 10 deletions(-) diff --git a/src/_image_resample.h b/src/_image_resample.h index 1b7af133de31..112ccd07bd4e 100644 --- a/src/_image_resample.h +++ b/src/_image_resample.h @@ -713,6 +713,7 @@ void resample( using span_alloc_t = agg::span_allocator; using span_conv_alpha_t = span_conv_alpha; + using nn_affine_interpolator_t = accurate_interpolator_affine_nn<>; using affine_interpolator_t = agg::span_interpolator_linear<>; using arbitrary_interpolator_t = agg::span_interpolator_adaptor, lookup_distortion>; @@ -774,10 +775,10 @@ void resample( if (params.interpolation == NEAREST) { if (params.is_affine) { - using span_gen_t = typename type_mapping_t::template span_gen_nn_type; + using span_gen_t = typename type_mapping_t::template span_gen_nn_type; using span_conv_t = agg::span_converter; using nn_renderer_t = agg::renderer_scanline_aa; - affine_interpolator_t interpolator(inverted); + nn_affine_interpolator_t interpolator(inverted); span_gen_t span_gen(input_accessor, interpolator); span_conv_t span_conv(span_gen, conv_alpha); nn_renderer_t nn_renderer(renderer, span_alloc, span_conv); diff --git a/src/_image_wrapper.cpp b/src/_image_wrapper.cpp index c062ef14a8f1..8944a2d44041 100644 --- a/src/_image_wrapper.cpp +++ b/src/_image_wrapper.cpp @@ -167,17 +167,12 @@ image_resample(py::array input_array, if (is_affine) { convert_trans_affine(transform, params.affine); - // If affine parameters will make subpixels visible, treat as nonaffine instead - if (params.affine.sx >= agg::image_subpixel_scale / 2 || params.affine.sy >= agg::image_subpixel_scale / 2) { - is_affine = false; - params.affine = agg::trans_affine(); // reset to identity affine parameters - } - } - if (!is_affine) { + params.is_affine = is_affine; + } else { transform_mesh = _get_transform_mesh(transform, output_array.shape()); params.transform_mesh = transform_mesh.data(); + params.is_affine = false; } - params.is_affine = is_affine; } if (auto resampler = diff --git a/src/agg_workaround.h b/src/agg_workaround.h index a167be97e171..ef989ac198a3 100644 --- a/src/agg_workaround.h +++ b/src/agg_workaround.h @@ -2,6 +2,7 @@ #define MPL_AGG_WORKAROUND_H #include "agg_pixfmt_rgba.h" +#include "agg_trans_affine.h" /********************************************************************** WORKAROUND: This class is to workaround a bug in Agg SVN where the @@ -42,4 +43,87 @@ struct fixed_blender_rgba_plain : agg::conv_rgba_plain } }; + +/********************************************************************** + This class provides higher-accuracy nearest-neighbor interpolation for + affine transforms than span_interpolator_linear by using + floating-point-based interpolation instead of integer-based +*/ + +template +class accurate_interpolator_affine_nn +{ +public: + typedef Transformer trans_type; + + enum subpixel_scale_e + { + subpixel_shift = SubpixelShift, + subpixel_scale = 1 << subpixel_shift + }; + + //-------------------------------------------------------------------- + accurate_interpolator_affine_nn() {} + accurate_interpolator_affine_nn(trans_type& trans) : m_trans(&trans) {} + accurate_interpolator_affine_nn(trans_type& trans, + double x, double y, unsigned len) : + m_trans(&trans) + { + begin(x, y, len); + } + + //---------------------------------------------------------------- + const trans_type& transformer() const { return *m_trans; } + void transformer(trans_type& trans) { m_trans = &trans; } + + //---------------------------------------------------------------- + void begin(double x, double y, unsigned len) + { + m_len = len - 1; + + m_stx1 = x; + m_sty1 = y; + m_trans->transform(&m_stx1, &m_sty1); + m_stx1 *= subpixel_scale; + m_sty1 *= subpixel_scale; + + m_stx2 = x + m_len; + m_sty2 = y; + m_trans->transform(&m_stx2, &m_sty2); + m_stx2 *= subpixel_scale; + m_sty2 *= subpixel_scale; + } + + //---------------------------------------------------------------- + void resynchronize(double xe, double ye, unsigned len) + { + m_len = len - 1; + + m_trans->transform(&xe, &ye); + m_stx2 = xe * subpixel_scale; + m_sty2 = ye * subpixel_scale; + } + + //---------------------------------------------------------------- + void operator++() + { + m_stx1 += (m_stx2 - m_stx1) / m_len; + m_sty1 += (m_sty2 - m_sty1) / m_len; + m_len--; + } + + //---------------------------------------------------------------- + void coordinates(int* x, int* y) const + { + // Truncate instead of round because this interpolator needs to + // match the definitions for nearest-neighbor interpolation + *x = int(m_stx1); + *y = int(m_sty1); + } + +private: + trans_type* m_trans; + unsigned m_len; + double m_stx1, m_sty1, m_stx2, m_sty2; +}; #endif From d9d7d15407859a877757d1dcb01e977b4dc3d58a Mon Sep 17 00:00:00 2001 From: "Albert Y. Shih" Date: Thu, 29 Jan 2026 10:14:26 -0500 Subject: [PATCH 3/9] Fix the handling of image resampling beyond the image bounds For nearest-neighbor interpolation, the code no longer applies any antialiasing of edges under an affine transform for more accurate edges and no longer shows data beyond the image bounds under a non-affine transform. --- src/_image_resample.h | 24 +++++++++++++----------- 1 file changed, 13 insertions(+), 11 deletions(-) diff --git a/src/_image_resample.h b/src/_image_resample.h index 112ccd07bd4e..27a90772a812 100644 --- a/src/_image_resample.h +++ b/src/_image_resample.h @@ -708,7 +708,8 @@ void resample( using scanline_t = agg::scanline32_u8; using reflect_t = agg::wrap_mode_reflect; - using image_accessor_t = agg::image_accessor_wrap; + using image_accessor_wrap_t = agg::image_accessor_wrap; + using image_accessor_clip_t = agg::image_accessor_clip; using span_alloc_t = agg::span_allocator; using span_conv_alpha_t = span_conv_alpha; @@ -742,7 +743,8 @@ void resample( input_buffer.attach( (unsigned char *)input, in_width, in_height, in_width * itemsize); input_pixfmt_t input_pixfmt(input_buffer); - image_accessor_t input_accessor(input_pixfmt); + image_accessor_wrap_t input_accessor_wrap(input_pixfmt); + image_accessor_clip_t input_accessor_clip(input_pixfmt, color_type::no_color()); agg::rendering_buffer output_buffer; output_buffer.attach( @@ -756,7 +758,7 @@ void resample( rasterizer.clip_box(0, 0, out_width, out_height); agg::path_storage path; - if (params.is_affine) { + if (params.is_affine && params.interpolation != NEAREST) { path.move_to(0, 0); path.line_to(in_width, 0); path.line_to(in_width, in_height); @@ -775,22 +777,22 @@ void resample( if (params.interpolation == NEAREST) { if (params.is_affine) { - using span_gen_t = typename type_mapping_t::template span_gen_nn_type; + using span_gen_t = typename type_mapping_t::template span_gen_nn_type; using span_conv_t = agg::span_converter; using nn_renderer_t = agg::renderer_scanline_aa; nn_affine_interpolator_t interpolator(inverted); - span_gen_t span_gen(input_accessor, interpolator); + span_gen_t span_gen(input_accessor_clip, interpolator); span_conv_t span_conv(span_gen, conv_alpha); nn_renderer_t nn_renderer(renderer, span_alloc, span_conv); agg::render_scanlines(rasterizer, scanline, nn_renderer); } else { - using span_gen_t = typename type_mapping_t::template span_gen_nn_type; + using span_gen_t = typename type_mapping_t::template span_gen_nn_type; using span_conv_t = agg::span_converter; using nn_renderer_t = agg::renderer_scanline_aa; lookup_distortion dist( params.transform_mesh, in_width, in_height, out_width, out_height, true); arbitrary_interpolator_t interpolator(inverted, dist); - span_gen_t span_gen(input_accessor, interpolator); + span_gen_t span_gen(input_accessor_clip, interpolator); span_conv_t span_conv(span_gen, conv_alpha); nn_renderer_t nn_renderer(renderer, span_alloc, span_conv); agg::render_scanlines(rasterizer, scanline, nn_renderer); @@ -800,22 +802,22 @@ void resample( get_filter(params, filter); if (params.is_affine && params.resample) { - using span_gen_t = typename type_mapping_t::template span_gen_affine_type; + using span_gen_t = typename type_mapping_t::template span_gen_affine_type; using span_conv_t = agg::span_converter; using int_renderer_t = agg::renderer_scanline_aa; affine_interpolator_t interpolator(inverted); - span_gen_t span_gen(input_accessor, interpolator, filter); + span_gen_t span_gen(input_accessor_wrap, interpolator, filter); span_conv_t span_conv(span_gen, conv_alpha); int_renderer_t int_renderer(renderer, span_alloc, span_conv); agg::render_scanlines(rasterizer, scanline, int_renderer); } else { - using span_gen_t = typename type_mapping_t::template span_gen_filter_type; + using span_gen_t = typename type_mapping_t::template span_gen_filter_type; using span_conv_t = agg::span_converter; using int_renderer_t = agg::renderer_scanline_aa; lookup_distortion dist( params.transform_mesh, in_width, in_height, out_width, out_height, false); arbitrary_interpolator_t interpolator(inverted, dist); - span_gen_t span_gen(input_accessor, interpolator, filter); + span_gen_t span_gen(input_accessor_wrap, interpolator, filter); span_conv_t span_conv(span_gen, conv_alpha); int_renderer_t int_renderer(renderer, span_alloc, span_conv); agg::render_scanlines(rasterizer, scanline, int_renderer); From 2d37c647cf528e7293e87c9ca2dde015357dfd09 Mon Sep 17 00:00:00 2001 From: "Albert Y. Shih" Date: Fri, 30 Jan 2026 00:24:30 -0500 Subject: [PATCH 4/9] Fix pixel alignment for PcolorImage and NonUniformImage Calculations now take into account that rendering will be to the nearest display pixel. --- lib/matplotlib/image.py | 51 ++++++++++++++++++++++------------------- 1 file changed, 28 insertions(+), 23 deletions(-) diff --git a/lib/matplotlib/image.py b/lib/matplotlib/image.py index 9525d7173b8d..dc408885002a 100644 --- a/lib/matplotlib/image.py +++ b/lib/matplotlib/image.py @@ -1055,21 +1055,24 @@ def make_image(self, renderer, magnification=1.0, unsampled=False): B[:, :, 0:3] = A B[:, :, 3] = 255 A = B - l, b, r, t = self.axes.bbox.extents - width = int(((round(r) + 0.5) - (round(l) - 0.5)) * magnification) - height = int(((round(t) + 0.5) - (round(b) - 0.5)) * magnification) + magnified_extents = (self.axes.bbox.extents * magnification + 0.5).astype(int) + l, b, r, t = magnified_extents / magnification + width = int((r - l) * magnification) + height = int((t - b) * magnification) invertedTransform = self.axes.transData.inverted() - x_pix = invertedTransform.transform( - [(x, b) for x in np.linspace(l, r, width)])[:, 0] - y_pix = invertedTransform.transform( - [(l, y) for y in np.linspace(b, t, height)])[:, 1] + x_pix_edges = invertedTransform.transform( + [(x, b) for x in np.linspace(l, r, width + 1)])[:, 0] + y_pix_edges = invertedTransform.transform( + [(l, y) for y in np.linspace(b, t, height + 1)])[:, 1] + x_pix_centers = (x_pix_edges[:-1] + x_pix_edges[1:]) / 2 + y_pix_centers = (y_pix_edges[:-1] + y_pix_edges[1:]) / 2 if self._interpolation == "nearest": x_mid = (self._Ax[:-1] + self._Ax[1:]) / 2 y_mid = (self._Ay[:-1] + self._Ay[1:]) / 2 - x_int = x_mid.searchsorted(x_pix) - y_int = y_mid.searchsorted(y_pix) + x_int = x_mid.searchsorted(x_pix_centers) + y_int = y_mid.searchsorted(y_pix_centers) # The following is equal to `A[y_int[:, None], x_int[None, :]]`, # but many times faster. Both casting to uint32 (to have an # effectively 1D array) and manual index flattening matter. @@ -1080,16 +1083,16 @@ def make_image(self, renderer, magnification=1.0, unsampled=False): else: # self._interpolation == "bilinear" # Use np.interp to compute x_int/x_float has similar speed. x_int = np.clip( - self._Ax.searchsorted(x_pix) - 1, 0, len(self._Ax) - 2) + self._Ax.searchsorted(x_pix_centers) - 1, 0, len(self._Ax) - 2) y_int = np.clip( - self._Ay.searchsorted(y_pix) - 1, 0, len(self._Ay) - 2) + self._Ay.searchsorted(y_pix_centers) - 1, 0, len(self._Ay) - 2) idx_int = np.add.outer(y_int * A.shape[1], x_int) x_frac = np.clip( - np.divide(x_pix - self._Ax[x_int], np.diff(self._Ax)[x_int], + np.divide(x_pix_centers - self._Ax[x_int], np.diff(self._Ax)[x_int], dtype=np.float32), # Downcasting helps with speed. 0, 1) y_frac = np.clip( - np.divide(y_pix - self._Ay[y_int], np.diff(self._Ay)[y_int], + np.divide(y_pix_centers - self._Ay[y_int], np.diff(self._Ay)[y_int], dtype=np.float32), 0, 1) f00 = np.outer(1 - y_frac, 1 - x_frac) @@ -1242,22 +1245,24 @@ def make_image(self, renderer, magnification=1.0, unsampled=False): if (padded_A[0, 0] != bg).all(): padded_A[[0, -1], :] = padded_A[:, [0, -1]] = bg - l, b, r, t = self.axes.bbox.extents - width = (round(r) + 0.5) - (round(l) - 0.5) - height = (round(t) + 0.5) - (round(b) - 0.5) - width = round(width * magnification) - height = round(height * magnification) + # Round to the nearest output pixels after magnification + l, b, r, t = (self.axes.bbox.extents * magnification + 0.5).astype(int) + width = r - l + height = t - b + vl = self.axes.viewLim - x_pix = np.linspace(vl.x0, vl.x1, width) - y_pix = np.linspace(vl.y0, vl.y1, height) - x_int = self._Ax.searchsorted(x_pix) - y_int = self._Ay.searchsorted(y_pix) + x_pix_edges = np.linspace(vl.x0, vl.x1, width + 1) + y_pix_edges = np.linspace(vl.y0, vl.y1, height + 1) + x_pix_centers = (x_pix_edges[:-1] + x_pix_edges[1:]) / 2 + y_pix_centers = (y_pix_edges[:-1] + y_pix_edges[1:]) / 2 + x_int = self._Ax.searchsorted(x_pix_centers) + y_int = self._Ay.searchsorted(y_pix_centers) im = ( # See comment in NonUniformImage.make_image re: performance. padded_A.view(np.uint32).ravel()[ np.add.outer(y_int * padded_A.shape[1], x_int)] .view(np.uint8).reshape((height, width, 4))) - return im, l, b, IdentityTransform() + return im, l / magnification, b / magnification, IdentityTransform() def _check_unsampled_image(self): return False From dd24e05a30cff3f89572df8a8ca554cf8b9ac9e4 Mon Sep 17 00:00:00 2001 From: "Albert Y. Shih" Date: Tue, 3 Feb 2026 14:42:04 -0500 Subject: [PATCH 5/9] Switch to premultiplied space inside Agg for RGBA blending Premultiplied image data is passed to the Agg resampler so that the interpolation is handled correctly. This code now tells Agg that the image is premultiplied so that the antialiasing of edges is handled correctly. --- src/_image_resample.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/_image_resample.h b/src/_image_resample.h index 27a90772a812..452b76c78ee5 100644 --- a/src/_image_resample.h +++ b/src/_image_resample.h @@ -511,7 +511,7 @@ struct type_mapping std::conditional_t< std::is_same_v, fixed_blender_rgba_plain, - agg::blender_rgba_plain + agg::blender_rgba_pre > >; using pixfmt_type = std::conditional_t< From 35ccd4c7df126054db048434c864545d4849da07 Mon Sep 17 00:00:00 2001 From: "Albert Y. Shih" Date: Wed, 4 Feb 2026 00:59:22 -0500 Subject: [PATCH 6/9] Adjust to favor the left input pixel for nearest-neighbor interpolation This fixes a subtle issue where a resampled pixel falling exactly between two input pixels would normally round half up, but would also be rendered with rounding half up, resulting in the resampled pixel having the wrong value. The code now functionally rounds half down, which cancels out the effect of rendering rounding half up in these situations, and otherwise makes no difference. --- lib/matplotlib/image.py | 12 ++++++++++++ 1 file changed, 12 insertions(+) diff --git a/lib/matplotlib/image.py b/lib/matplotlib/image.py index dc408885002a..898d55633d41 100644 --- a/lib/matplotlib/image.py +++ b/lib/matplotlib/image.py @@ -206,12 +206,24 @@ def _resample( out = np.zeros(out_shape + data.shape[2:], data.dtype) # 2D->2D, 3D->3D. if resample is None: resample = image_obj.get_resample() + + # When an output pixel falls exactly on the edge between two input pixels, the Agg + # resampler will use the right input pixel as the nearest neighbor. We want the + # left input pixel to be chosen instead, so we flip the supplied transform. + if interpolation == 'nearest': + transform += Affine2D().translate(-out.shape[1], -out.shape[0]).scale(-1, -1) + _image.resample(data, out, transform, _interpd_[interpolation], resample, alpha, image_obj.get_filternorm(), image_obj.get_filterrad()) + + # Because we flipped the supplied transform, we then flip the output image back. + if interpolation == 'nearest': + out = np.flip(out, axis=(0, 1)) + return out From f1a1fb426a0a5ab2f39b99464afc7c4c060873dc Mon Sep 17 00:00:00 2001 From: "Albert Y. Shih" Date: Fri, 6 Feb 2026 14:30:13 -0500 Subject: [PATCH 7/9] Bump rendering edges to fill axes when rendering affine non-NN interpolation This fixes a visual issue where there can appear to be a slight gap between an image and the axes spines even when it is supposed to fill the axes. The code now expands the rendering edges to fill the axes without degrading the placement accuracy within the image. --- src/_image_resample.h | 39 ++++++++++++++++++++++++++++++++------- 1 file changed, 32 insertions(+), 7 deletions(-) diff --git a/src/_image_resample.h b/src/_image_resample.h index 452b76c78ee5..217f4a6ce86e 100644 --- a/src/_image_resample.h +++ b/src/_image_resample.h @@ -759,13 +759,38 @@ void resample( agg::path_storage path; if (params.is_affine && params.interpolation != NEAREST) { - path.move_to(0, 0); - path.line_to(in_width, 0); - path.line_to(in_width, in_height); - path.line_to(0, in_height); - path.close_polygon(); - agg::conv_transform rectangle(path, params.affine); - rasterizer.add_path(rectangle); + if (params.affine.shx != 0 || params.affine.shy != 0) { + path.move_to(0, 0); + path.line_to(in_width, 0); + path.line_to(in_width, in_height); + path.line_to(0, in_height); + path.close_polygon(); + agg::conv_transform rectangle(path, params.affine); + rasterizer.add_path(rectangle); + } else { + // If there is no shear/rotation, bump out the rendering edges that are + // within a half pixel of a full pixel so that axes are visually filled. + // This bumping out is equivalent to treating any edge pixel that is at + // least half-covered by the source as fully covered by the source. + double left = 0; + double right = in_width; + double bottom = 0; + double top = in_height; + params.affine.transform(&left, &bottom); + params.affine.transform(&right, &top); + if (left > right) { std::swap(left, right); } + if (bottom > top) { std::swap(top, bottom); } + if (round(left) < left) { left = round(left); } + if (round(right) > right) { right = round(right); } + if (round(bottom) < bottom) { bottom = round(bottom); } + if (round(top) > top) { top = round(top); } + path.move_to(left, bottom); + path.line_to(right, bottom); + path.line_to(right, top); + path.line_to(left, top); + path.close_polygon(); + rasterizer.add_path(path); + } } else { path.move_to(0, 0); path.line_to(out_width, 0); From ae239eab48c7c6a924d59809174825a9dfd219d6 Mon Sep 17 00:00:00 2001 From: "Albert Y. Shih" Date: Wed, 28 Jan 2026 13:38:49 -0500 Subject: [PATCH 8/9] Add four figure tests and changelog entry --- .../next_api_changes/behavior/31021-AYS.rst | 7 + .../test_image/affine_fill_to_edges.png | Bin 0 -> 86862 bytes .../test_image/image_bounds_handling.png | Bin 0 -> 95730 bytes .../test_image/nn_pixel_alignment.png | Bin 0 -> 17869 bytes .../test_image/rgba_clean_edges.png | Bin 0 -> 104720 bytes lib/matplotlib/tests/test_image.py | 135 ++++++++++++++++-- 6 files changed, 134 insertions(+), 8 deletions(-) create mode 100644 doc/api/next_api_changes/behavior/31021-AYS.rst create mode 100644 lib/matplotlib/tests/baseline_images/test_image/affine_fill_to_edges.png create mode 100644 lib/matplotlib/tests/baseline_images/test_image/image_bounds_handling.png create mode 100644 lib/matplotlib/tests/baseline_images/test_image/nn_pixel_alignment.png create mode 100644 lib/matplotlib/tests/baseline_images/test_image/rgba_clean_edges.png diff --git a/doc/api/next_api_changes/behavior/31021-AYS.rst b/doc/api/next_api_changes/behavior/31021-AYS.rst new file mode 100644 index 000000000000..aa5dc598cb26 --- /dev/null +++ b/doc/api/next_api_changes/behavior/31021-AYS.rst @@ -0,0 +1,7 @@ +Rendering of images now more accurate +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +There have been several fixes to improve the accuracy of how images are +resampled and placed during rendering. Some inaccuracies were up to a pixel off +in the output. The most apparent improvement is that the alignment of data +pixels with tick marks and grid lines is now reliable. 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nonaffine_identity(): + """Non-affine identity transform for compositing with any affine transform""" + class NonAffineIdentityTransform(Transform): + input_dims = 2 + output_dims = 2 + + def inverted(self): + return self + return NonAffineIdentityTransform() + + @image_comparison(['interp_alpha.png'], remove_text=True) def test_alpha_interp(): """Test the interpolation of the alpha channel on RGBA images""" @@ -1679,7 +1692,7 @@ def test__resample_valid_output(): np.full(256, 0.9)]).reshape(1, -1)), ] ) -def test_resample_nonaffine(data, interpolation, expected): +def test_resample_nonaffine(data, interpolation, expected, nonaffine_identity): # Test that both affine and nonaffine transforms resample to the correct answer # If the array is constant, the tolerance can be tight @@ -1695,13 +1708,7 @@ def test_resample_nonaffine(data, interpolation, expected): # Create a nonaffine version of the same transform # by compositing with a nonaffine identity transform - class NonAffineIdentityTransform(Transform): - input_dims = 2 - output_dims = 2 - - def inverted(self): - return self - nonaffine_transform = NonAffineIdentityTransform() + affine_transform + nonaffine_transform = nonaffine_identity + affine_transform nonaffine_result = np.empty_like(expected) mimage.resample(data, nonaffine_result, nonaffine_transform, @@ -1873,3 +1880,115 @@ def test_interpolation_stage_rgba_respects_alpha_param(fig_test, fig_ref, intp_s (im_rgb, new_array_alpha.reshape((ny, nx, 1))), axis=-1 ), interpolation_stage=intp_stage ) + + +@image_comparison(['nn_pixel_alignment.png']) +def test_nn_pixel_alignment(nonaffine_identity): + fig, axs = plt.subplots(2, 3) + + for j, N in enumerate([3, 7, 11]): + # In each column, the plots use the same data array + data = np.arange(N**2).reshape((N, N)) % 4 + seps = np.arange(-0.5, N) + + for i in range(2): + if i == 0: + # Top row uses an affine transform + axs[i, j].imshow(data, cmap='Grays', interpolation='nearest') + else: + # Bottom row uses a non-affine transform + axs[i, j].imshow(data, cmap='Grays', interpolation='nearest', + transform=nonaffine_identity + axs[i, j].transData) + + axs[i, j].set_axis_off() + axs[i, j].vlines(seps, -1, N, lw=0.5, color='red', ls='dashed') + axs[i, j].hlines(seps, -1, N, lw=0.5, color='red', ls='dashed') + + +@image_comparison(['image_bounds_handling.png'], tol=0.006) +def test_image_bounds_handling(nonaffine_identity): + # TODO: The second and third panels in the bottom row show that the handling of + # image bounds is bugged for non-affine transforms and non-nearest-neighbor + # interpolation. If this bug gets fixed, the baseline image should be updated. + + fig, axs = plt.subplots(2, 3) + + N = 11 + + for j, interpolation in enumerate(['nearest', 'hanning', 'bilinear']): + data = np.arange(N**2).reshape((N, N)) + data = data / N**2 + (data % 4) / 6 + rotation = Affine2D().rotate_around(N/2-0.5, N/2-0.5, 1) + + for i in range(2): + transform = rotation + axs[i, j].transData + if i == 1: + # Bottom row uses a non-affine transform + transform = nonaffine_identity + transform + + axs[i, j].imshow(data, cmap='Grays', interpolation=interpolation, + transform=transform) + + axs[i, j].set_axis_off() + box = Rectangle((-0.5, -0.5), N, N, + edgecolor='red', facecolor='none', lw=0.5, ls='dashed', + transform=rotation + axs[i, j].transData) + axs[i, j].add_artist(box) + + +@image_comparison(['rgba_clean_edges.png'], tol=0.003) +def test_rgba_clean_edges(): + np.random.seed(19680801+9) # same as in test_upsampling() + data = np.random.rand(8, 8) + data = np.stack([data, data]) + data[1, 2:4, 2:4] = np.nan + + rotation = Affine2D().rotate_around(3.5, 3.5, 1) + + fig, axs = plt.subplots(1, 2) + + for i in range(2): + # Add background patches to check the fading to non-white colors + black = Rectangle((3.75, 2), 5, 5, color='black', zorder=0) + gray = Rectangle((0, -2), 3.75, 4, color='gray', zorder=0) + partly_black = Rectangle((3.75, -2), 5, 4, fc='black', ec='none', + alpha=0.5, zorder=0) + axs[i].add_patch(black) + axs[i].add_patch(gray) + axs[i].add_patch(partly_black) + + axs[i].imshow(data[i, ...], + interpolation='bilinear', interpolation_stage='rgba', + transform=rotation + axs[i].transData) + + axs[i].set_axis_off() + axs[i].set_xlim(-2.5, 9.5) + axs[i].set_ylim(-2.5, 9.5) + + +@image_comparison(['affine_fill_to_edges.png']) +def test_affine_fill_to_edges(): + # The two rows show the two settings of origin + # The three columns show the original and the two mirror flips + fig, axs = plt.subplots(2, 3) + + N = 7 + data = np.arange(N**2).reshape((N, N)) % 3 + + transform = [Affine2D(), + Affine2D().translate(0, -N + 1).scale(1, -1), + Affine2D().translate(-N + 1, 0).scale(-1, 1)] + + for j in range(3): + for i in range(2): + origin = 'upper' if i == 0 else 'lower' + + axs[i, j].imshow(data, cmap='Grays', + interpolation='hanning', origin=origin, + transform=transform[j] + axs[i, j].transData) + + axs[i, j].set_axis_off() + axs[i, j].vlines([-0.5, N - 0.5], -1, 2, lw=0.5, color='red') + axs[i, j].vlines([-0.5, N - 0.5], N - 3, N, lw=0.5, color='red') + axs[i, j].hlines([-0.5, N - 0.5], -1, 2, lw=0.5, color='red') + axs[i, j].hlines([-0.5, N - 0.5], N - 3, N, lw=0.5, color='red') From 800185c8002aaa9eab791781ea760bda5071f7af Mon Sep 17 00:00:00 2001 From: "Albert Y. Shih" Date: Tue, 3 Feb 2026 14:42:55 -0500 Subject: [PATCH 9/9] Adjust existing figure test and update baseline images --- .../test_axes/extent_units.png | Bin 66654 -> 67140 bytes .../baseline_images/test_axes/imshow.pdf | Bin 12439 -> 12485 bytes .../baseline_images/test_axes/imshow.png | Bin 18272 -> 18227 bytes .../baseline_images/test_axes/imshow.svg | 34 +- .../baseline_images/test_axes/imshow_clip.pdf | Bin 18410 -> 18407 bytes .../baseline_images/test_axes/imshow_clip.png | Bin 21410 -> 21354 bytes .../baseline_images/test_axes/imshow_clip.svg | 38 +- .../test_axes/specgram_angle_freqs.png | Bin 132870 -> 131731 bytes .../test_axes/specgram_angle_noise.png | Bin 51810 -> 51672 bytes .../test_axes/specgram_freqs.png | Bin 60039 -> 59467 bytes .../test_axes/specgram_freqs_linear.png | Bin 60039 -> 59467 bytes .../test_axes/specgram_magnitude_freqs.png | Bin 25618 -> 25956 bytes .../specgram_magnitude_freqs_linear.png | Bin 25618 -> 25956 bytes .../test_axes/specgram_magnitude_noise.png | Bin 53115 -> 52820 bytes .../specgram_magnitude_noise_linear.png | Bin 53115 -> 52820 bytes .../test_axes/specgram_noise.png | Bin 53193 -> 52848 bytes .../test_axes/specgram_noise_linear.png | Bin 53193 -> 52848 bytes .../test_axes/specgram_phase_freqs.png | Bin 43715 -> 43206 bytes .../test_axes/specgram_phase_noise.png | Bin 40374 -> 40366 bytes .../test_axes/use_colorizer_keyword.png | Bin 32870 -> 31962 bytes .../bbox_inches_inset_rasterized.pdf | Bin 3487 -> 3494 bytes .../test_colorbar/colorbar_extend_alpha.png | Bin 2071 -> 2074 bytes .../test_colorbar/colorbar_keeping_xlabel.png | Bin 13087 -> 13075 bytes .../test_colors/light_source_shading_topo.png | Bin 622500 -> 623499 bytes .../test_colors/test_norm_abc.png | Bin 16041 -> 16087 bytes .../test_colorbars_no_overlapH.png | Bin 2050 -> 2476 bytes .../test_colorbars_no_overlapV.png | Bin 3548 -> 4467 bytes .../test_compressed_suptitle_colorbar.png | Bin 3532 -> 3713 bytes .../test_compressed_supylabel_colorbar.png | Bin 5018 -> 5133 bytes .../test_image/bbox_image_inverted.pdf | Bin 3467 -> 3494 bytes .../test_image/bbox_image_inverted.png | Bin 3928 -> 3886 bytes .../test_image/bbox_image_inverted.svg | 36 +- .../test_image/downsampling.png | Bin 253331 -> 387263 bytes .../test_image/downsampling_speckle.png | Bin 3778 -> 3413 bytes .../test_image/image_alpha.pdf | Bin 4239 -> 4235 bytes .../test_image/image_alpha.png | Bin 5950 -> 6057 bytes .../test_image/image_alpha.svg | 18 +- .../baseline_images/test_image/image_clip.svg | 448 +++++++++--------- .../test_image/image_cliprect.svg | 38 +- .../test_image/image_composite_alpha.pdf | Bin 56177 -> 37696 bytes .../test_image/image_composite_alpha.png | Bin 56022 -> 52634 bytes .../test_image/image_composite_alpha.svg | 6 +- .../test_image/image_composite_background.pdf | Bin 3448 -> 2737 bytes .../test_image/image_composite_background.png | Bin 3442 -> 3422 bytes .../test_image/image_composite_background.svg | 81 ++-- .../test_image/imshow_endianess.png | Bin 5309 -> 5443 bytes .../imshow_masked_interpolation.pdf | Bin 42807 -> 42462 bytes .../imshow_masked_interpolation.png | Bin 32032 -> 31754 bytes .../imshow_masked_interpolation.svg | 112 ++--- .../test_image/interp_alpha.png | Bin 14887 -> 14829 bytes .../test_image/interp_nearest_vs_none.pdf | Bin 2488 -> 2395 bytes .../test_image/interp_nearest_vs_none.svg | 14 +- .../baseline_images/test_image/mask_image.png | Bin 4038 -> 4114 bytes .../baseline_images/test_image/mask_image.svg | 159 ++++--- .../test_image/mask_image_over_under.png | Bin 33322 -> 34377 bytes .../test_image/no_interpolation_origin.png | Bin 5528 -> 5588 bytes .../test_image/nonuniform_and_pcolor.png | Bin 4223 -> 4315 bytes .../test_image/nonuniform_logscale.png | Bin 10262 -> 10224 bytes .../test_image/rasterize_10dpi.pdf | Bin 2425 -> 2449 bytes .../test_image/rasterize_10dpi.svg | 51 +- .../test_image/rgba_antialias.png | Bin 109664 -> 109806 bytes .../test_image/rotate_image.png | Bin 24038 -> 22365 bytes .../baseline_images/test_image/upsampling.png | Bin 68190 -> 68096 bytes .../bivariate_cmap_shapes.png | Bin 5084 -> 5044 bytes .../test_patheffects/patheffect1.pdf | Bin 7113 -> 8852 bytes .../test_patheffects/patheffect1.png | Bin 32077 -> 33152 bytes .../test_patheffects/patheffect1.svg | 6 +- .../test_patheffects/patheffect2.png | Bin 16310 -> 16330 bytes .../test_patheffects/patheffect2.svg | 186 ++++---- .../baseline_images/test_png/pngsuite.png | Bin 49593 -> 18026 bytes .../test_tightlayout/tight_layout5.png | Bin 2271 -> 3795 bytes lib/matplotlib/tests/test_png.py | 7 +- .../anchored_locator_base_call.png | Bin 2272 -> 2269 bytes .../test_axes_grid1/image_grid.png | Bin 3786 -> 3732 bytes .../image_grid_each_left_label_mode_all.png | Bin 9986 -> 10424 bytes .../test_axes_grid1/imagegrid_cbar_mode.png | Bin 33936 -> 33968 bytes 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a/lib/matplotlib/tests/baseline_images/test_image/image_composite_alpha.svg +++ b/lib/matplotlib/tests/baseline_images/test_image/image_composite_alpha.svg @@ -6,11 +6,11 @@ - 2025-07-10T19:29:50.453941 + 2026-02-03T19:56:08.323770 image/svg+xml - Matplotlib v3.11.0.dev1075+g945334b731, https://matplotlib.org/ + Matplotlib v3.11.0.dev1757+g00c32c31d, https://matplotlib.org/ @@ -39,7 +39,7 @@ z 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