IMAGE FILTER ARITHMETIC DEVICE, GAUSSIAN KERNEL ARITHMETIC DEVICE, AND PROGRAM

• Main Authors: KAMATA SEIICHIRO, SUGIMOTO KENJIRO
• Format: Patent
• Language: English; Japanese
• Published: 07.07.2016
• Subjects: CALCULATING; COMPUTING; COUNTING; ELECTRIC COMMUNICATION TECHNIQUE; ELECTRICITY; IMAGE DATA PROCESSING OR GENERATION, IN GENERAL; PHYSICS; PICTORIAL COMMUNICATION, e.g. TELEVISION

PROBLEM TO BE SOLVED: To provide an image filter arithmetic device in which calculation costs are smaller than conventional, and with which it is possible to control a calculation error as desired.SOLUTION: Provided is an image filter arithmetic device for performing image smoothing on an input image {x(p)} by the convolution arithmetic of a space kernel gand a range kernel g, the image filter arithmetic device comprising: approximation parameter optimization means for determining the set (T, K) of a truncation number K and a significant cycle T in an approximate range kernel g^in which the range kernel gis Fourier-series approximated for a scale parameter σ, a permissible error τ, and a dynamic range R, so that an approximation error becomes τ or less; expansion coefficient arithmetic means for calculating the expansion coefficient {a, and so on, a} of the approximate range kernel g^; and filter arithmetic means for executing the convolution arithmetic using the expansion coefficient {a, and so on, a}.SELECTED DRAWING: Figure 12 【課題】従来よりも計算コストが小さく、かつ計算誤差の制御を自在に行うことが可能な画像フィルタ演算装置の提供。【解決手段】入力画像{x(p)}に対し、空間カーネルgs及びレンジ・カーネルgrのコンボリューション演算により画像平滑化を行う画像フィルタ演算装置であって、スケール・パラメータσｒ、許容誤差τ及びダイナミックレンジＲに対し、レンジ・カーネルgrをフーリエ級数近似した近似レンジ・カーネルg^rにおける打切項数Ｋ及び有意周期Ｔの組（Ｔ，Ｋ）を、近似誤差がτ以下となるように決定する近似パラメータ最適化手段と、近似レンジ・カーネルg^rの展開係数{a0,...,aKτ}を算出する展開係数演算手段と、展開係数{a0,...,aKτ}を用いコンボリューション演算を実行するフィルタ演算手段を備えた。【選択図】図１２