📄 siftlocalmax.c
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/* file: siftlocalmax.c** author: Andrea Vedaldi** description: Find local maximizer of multi-dimensional array.**//* AUTORIGHTSCopyright (c) 2006 The Regents of the University of California.All Rights Reserved.Created by Andrea VedaldiUCLA Vision Lab - Department of Computer SciencePermission to use, copy, modify, and distribute this software and itsdocumentation for educational, research and non-profit purposes,without fee, and without a written agreement is hereby granted,provided that the above copyright notice, this paragraph and thefollowing three paragraphs appear in all copies.This software program and documentation are copyrighted by The Regentsof the University of California. The software program anddocumentation are supplied "as is", without any accompanying servicesfrom The Regents. The Regents does not warrant that the operation ofthe program will be uninterrupted or error-free. The end-userunderstands that the program was developed for research purposes andis advised not to rely exclusively on the program for any reason.This software embodies a method for which the following patent hasbeen issued: "Method and apparatus for identifying scale invariantfeatures in an image and use of same for locating an object in animage," David G. Lowe, US Patent 6,711,293 (March 23,2004). Provisional application filed March 8, 1999. Asignee: TheUniversity of British Columbia.IN NO EVENT SHALL THE UNIVERSITY OF CALIFORNIA BE LIABLE TO ANY PARTYFOR DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES,INCLUDING LOST PROFITS, ARISING OUT OF THE USE OF THIS SOFTWARE ANDITS DOCUMENTATION, EVEN IF THE UNIVERSITY OF CALIFORNIA HAS BEENADVISED OF THE POSSIBILITY OF SUCH DAMAGE. THE UNIVERSITY OFCALIFORNIA SPECIFICALLY DISCLAIMS ANY WARRANTIES, INCLUDING, BUT NOTLIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FORA PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS ON AN "AS IS"BASIS, AND THE UNIVERSITY OF CALIFORNIA HAS NO OBLIGATIONS TO PROVIDEMAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.*/#include"mex.h"#include<mexutils.c>#include<stdlib.h>/** Matlab driver. **/#define greater(a,b) ((a) > (b)+threshold)voidmexFunction(int nout, mxArray *out[], int nin, const mxArray *in[]){ int M, N ; const double* F_pt ; int ndims ; int pdims = -1 ; int* offsets ; int* midx ; int* neighbors ; int nneighbors ; int* dims ; enum {F=0,THRESHOLD,P} ; enum {MAXIMA=0} ; double threshold = - mxGetInf() ; /* ------------------------------------------------------------------ * Check the arguments * --------------------------------------------------------------- */ if (nin < 1) { mexErrMsgTxt("At least one input argument is required."); } else if (nin > 3) { mexErrMsgTxt("At most three arguments are allowed.") ; } else if (nout > 1) { mexErrMsgTxt("Too many output arguments"); } /* The input must be a real matrix. */ if (!mxIsDouble(in[F]) || mxIsComplex(in[F])) { mexErrMsgTxt("Input must be real matrix."); } if(nin > 1) { if(!uIsRealScalar(in[THRESHOLD])) { mexErrMsgTxt("THRESHOLD must be a real scalar.") ; } threshold = *mxGetPr(in[THRESHOLD]) ; } if(nin > 2) { if(!uIsRealScalar(in[P])) mexErrMsgTxt("P must be a non-negative integer") ; pdims = (int) *mxGetPr(in[P]) ; if(pdims < 0) mexErrMsgTxt("P must be a non-negative integer") ; } ndims = mxGetNumberOfDimensions(in[F]) ; { /* We need to make a copy because in one special case (see below) we need to adjust dims[]. */ int d ; const int* const_dims = (int*) mxGetDimensions(in[F]) ; dims = mxMalloc(sizeof(int)*ndims) ; for(d=0 ; d < ndims ; ++d) dims[d] = const_dims[d] ; } M = dims[0] ; N = dims[1] ; F_pt = mxGetPr(in[F]) ; /* If there are only two dimensions and if one is singleton, then assume that a vector has been provided as input (and treat this as a COLUMN matrix with p=1). We do this because Matlab does not distinguish between vectors and 1xN or Mx1 matrices and because the cases 1xN and Mx1 are trivial (the result is alway empty). */ if((ndims == 2) && (pdims < 0) && (M == 1 || N == 1)) { pdims = 1 ; M = (M>N)?M:N ; N = 1 ; dims[0]=M ; dims[1]=N ; } /* search the local maxima along the first p dimensions only */ if(pdims < 0) pdims = ndims ; if(pdims > ndims) { mxFree(dims) ; mexErrMsgTxt("P must not be greater than the number of dimensions") ; } /* ------------------------------------------------------------------ * Do the job * --------------------------------------------------------------- */ { int maxima_size = M*N ; int* maxima_start = (int*) mxMalloc(sizeof(int) * maxima_size) ; int* maxima_iterator = maxima_start ; int* maxima_end = maxima_start + maxima_size ; int i,h,o ; const double* pt = F_pt ; /* Compute the offsets between dimensions. */ offsets = (int*) mxMalloc(sizeof(int) * ndims) ; offsets[0] = 1 ; for(h = 1 ; h < ndims ; ++h) offsets[h] = offsets[h-1]*dims[h-1] ; /* Multi-index. */ midx = (int*) mxMalloc(sizeof(int) * ndims) ; for(h = 0 ; h < ndims ; ++h) midx[h] = 1 ; /* Neighbors. */ nneighbors = 1 ; o=0 ; for(h = 0 ; h < pdims ; ++h) { nneighbors *= 3 ; midx[h] = -1 ; o -= offsets[h] ; } nneighbors -= 1 ; neighbors = (int*) mxMalloc(sizeof(int) * nneighbors) ; /* Precompute offsets from offset(-1,...,-1,0,...0) to * offset(+1,...,+1,0,...,0). */ i = 0 ; while(true) { if(o != 0) neighbors[i++] = o ; h = 0 ; while( o += offsets[h], (++midx[h]) > 1 ) { o -= 3*offsets[h] ; midx[h] = -1 ; if(++h >= pdims) goto stop ; } } stop: ; /* Starts at the corner (1,1,...,1,0,0,...0) */ for(h = 0 ; h < pdims ; ++h) { midx[h] = 1 ; pt += offsets[h] ; } for(h = pdims ; h < ndims ; ++h) { midx[h] = 0 ; } /* --------------------------------------------------------------- * Loop * ------------------------------------------------------------ */ /* If any dimension in the first P is less than 3 elements wide then just return the empty matrix (if we proceed without doing anything we break the carry reporting algorithm below). */ for(h=0 ; h < pdims ; ++h) if(dims[h] < 3) goto end ; while(true) { /* Propagate carry along multi index midx */ h = 0 ; while((midx[h]) >= dims[h] - 1) { pt += 2*offsets[h] ; /* skip first and last el. */ midx[h] = 1 ; if(++h >= pdims) goto next_layer ; ++midx[h] ; } /* for(h = 0 ; h < ndims ; ++h ) mexPrintf("%d ", midx[h]) ; mexPrintf(" -- %d -- pdims %d \n", pt - F_pt,pdims) ; */ /* Scan neighbors */ { double v = *pt ; bool is_greater = (v >= threshold) ; i = 0 ; while(is_greater && i < nneighbors) is_greater &= v > *(pt + neighbors[i++]) ; /* Add the local maximum */ if(is_greater) { /* Need more space? */ if(maxima_iterator == maxima_end) { maxima_size += M*N ; maxima_start = (int*) mxRealloc(maxima_start, maxima_size*sizeof(int)) ; maxima_end = maxima_start + maxima_size ; maxima_iterator = maxima_end - M*N ; } *maxima_iterator++ = pt - F_pt + 1 ; } /* Go to next element */ pt += 1 ; ++midx[0] ; continue ; next_layer: ; if( h >= ndims ) goto end ; while((++midx[h]) >= dims[h]) { midx[h] = 0 ; if(++h >= ndims) goto end ; } } } end:; /* Return. */ { double* M_pt ; out[MAXIMA] = mxCreateDoubleMatrix (1, maxima_iterator-maxima_start, mxREAL) ; maxima_end = maxima_iterator ; maxima_iterator = maxima_start ; M_pt = mxGetPr(out[MAXIMA]) ; while(maxima_iterator != maxima_end) { *M_pt++ = *maxima_iterator++ ; } } /* Release space. */ mxFree(offsets) ; mxFree(neighbors) ; mxFree(midx) ; mxFree(maxima_start) ; } mxFree(dims) ;}
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