| /** @file imopv.c | |
| ** @author Andrea Vedaldi | |
| ** @brief Vectorized image operations - Definition | |
| **/ | |
| /* AUTORIGHTS | |
| Copyright (C) 2007-09 Andrea Vedaldi and Brian Fulkerson | |
| This file is part of VLFeat, available in the terms of the GNU | |
| General Public License version 2. | |
| */ | |
| /** @file imopv.h | |
| ** | |
| ** This module provides image operations such as convolution. | |
| ** | |
| ** Some operations are optimized to exploit possible SIMD | |
| ** instructions. This requires image data to be properly aligned, | |
| ** along with the image stride. | |
| ** | |
| ** The function ::vl_imconvcol_vf() can be used to compute separable | |
| ** convolutions. The function vl_imconvcoltri_vf() is an optimized | |
| ** version that works with triangular kernels. | |
| **/ | |
| /** @fn vl_imconvcol_vf(float*,int,float const*,int,int,int,float const*,int,int,int,unsigned int) | |
| ** @brief Convolve image along columns | |
| ** | |
| ** @param dst destination image. | |
| ** @param dst_stride width of the destination image including padding. | |
| ** @param src source image. | |
| ** @param src_width width of the source image. | |
| ** @param src_height height of the source image. | |
| ** @param src_stride width of the source image including padding. | |
| ** @param filt filter kernel. | |
| ** @param filt_begin coordinate of the first filter element. | |
| ** @param filt_end coordinate of the last filter element. | |
| ** @param step sub-sampling step. | |
| ** @param flags operation modes. | |
| ** | |
| ** The function convolves the column of the image @a src by the | |
| ** filter @a filt and saves the result to the image @a dst. The size | |
| ** of @a dst must be equal to the size of @a src. Formally, this | |
| ** results in the calculation | |
| ** | |
| ** @f[ | |
| ** \mathrm{dst} [x,y] = \sum_{p=y-\mathrm{filt\_end}}^{y-\mathrm{filt\_begin}} | |
| ** \mathrm{src}[x,y] \mathrm{filt}[y - p - \mathrm{filt\_begin}] | |
| ** @f] | |
| ** | |
| ** The function subsamples the image along the columns according to | |
| ** the parameter @a step. Setting @a step to 1 (one) computes the | |
| ** elements @f$\mathrm{dst}[x,y]@f$ for all pairs (x,0), (x,1), (x,2) | |
| ** and so on. Setting @a step two 2 (two) computes only (x,0), (x,2) | |
| ** and so on (in this case the height of the destination image is | |
| ** <code>floor(src_height/step)+1)</code>. | |
| ** | |
| ** Calling twice the function can be used to compute 2-D separable | |
| ** convolutions. Use the flag ::VL_TRANSPOSE to transpose the result | |
| ** (in this case @a dst has transposed dimension as well). | |
| ** | |
| ** The function allows the support of the filter to be any range. | |
| ** Usually the support is <code>@a filt_end = -@a filt_begin</code>. | |
| ** | |
| ** The convolution operation may pick up values outside the image | |
| ** boundary. To cope with this edge cases, the function either pads | |
| ** the image by zero (::VL_PAD_BY_ZERO) or with the values at the | |
| ** boundary (::VL_PAD_BY_CONTINUITY). | |
| **/ | |
| /** @fn vl_imconvcol_vd(double*,int,double const*,int,int,int,double const*,int,int,int,unsigned int) | |
| ** @see ::vl_imconvcol_vf() | |
| **/ | |
| /** @fn vl_imconvcoltri_vf(float*,int,float const*,int,int,int,int,int,unsigned int) | |
| ** @brief Convolve an image along the columns with a triangular kernel | |
| ** | |
| ** @param dst destination image. | |
| ** @param dst_stride width of the destination image including padding. | |
| ** @param src source image. | |
| ** @param src_width width of the source image. | |
| ** @param src_height height of the source image. | |
| ** @param src_stride width of the source image including padding. | |
| ** @param filt_size size of the triangular filter. | |
| ** @param step sub-sampling step. | |
| ** @param flags operation modes. | |
| ** | |
| ** The function convolves the column of the image @a src by the | |
| ** discrete kernel | |
| ** | |
| ** @f[ | |
| ** k(t) = \frac{1}{\Delta^2} \max\{ \Delta - |t|, 0 \}, | |
| ** \quad t \in \mathbb{Z} | |
| ** @f] | |
| ** | |
| ** where @f$ \Delta @f$ is equal to the parameter @a filt_size. The | |
| ** normalization factor is selected such that | |
| ** | |
| ** @f[ | |
| ** \sum_{t=-\infty}^{+\infty} k(t) = 1 | |
| ** @f] | |
| ** | |
| ** for all @f$ \Delta \in \mathbb{Z}_+ @f$. Notice that the support | |
| ** of @f$ k(x) @f$ as a continuous function is @f$ (-\Delta,\Delta) | |
| ** @f$ and has length @f$ 2\Delta @f$ and as a discrete function is | |
| ** @f$ [-\Delta + 1, \Delta-1] @f$ which has length @f$ 2 \Delta - 1 | |
| ** @f$. | |
| ** | |
| ** The operation of the function is otherwise similar to | |
| ** ::vl_imconvocl(). | |
| **/ | |
| /** @fn vl_imconvcoltri_vd(double*,int,double const*,int,int,int,int,int,unsigned int) | |
| ** @see ::vl_imconvcoltri_vf() | |
| **/ | |