smoothMeshSF.lyx 3.7 KB

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  1. #LyX 2.0 created this file. For more info see http://www.lyx.org/
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  72. \end_header
  73. \begin_body
  74. \begin_layout Subsection
  75. Mesh > Scalar Field > Smooth
  76. \end_layout
  77. \begin_layout Standard
  78. \begin_inset CommandInset label
  79. LatexCommand label
  80. name "subsection:smoothMeshSF"
  81. \end_inset
  82. \end_layout
  83. \begin_layout Standard
  84. \begin_inset Float figure
  85. placement !htb
  86. wide false
  87. sideways false
  88. status open
  89. \begin_layout Plain Layout
  90. \align center
  91. \begin_inset Graphics
  92. filename ../images/Partie3_Fonctions/smoothAndEnhanceMeshSF.png
  93. width 90text%
  94. \end_inset
  95. \begin_inset Caption
  96. \begin_layout Plain Layout
  97. \begin_inset CommandInset label
  98. LatexCommand label
  99. name "fig:smoothAndEnhanceMeshSF"
  100. \end_inset
  101. Exemple de résultats obtenus avec les options
  102. \emph on
  103. smooth
  104. \emph default
  105. et
  106. \emph on
  107. enhance
  108. \emph default
  109. d'un champ scalaire porté par les sommets d'un maillage
  110. \end_layout
  111. \end_inset
  112. \end_layout
  113. \end_inset
  114. \end_layout
  115. \begin_layout Standard
  116. \begin_inset Index idx
  117. status collapsed
  118. \begin_layout Plain Layout
  119. champ scalaire
  120. \end_layout
  121. \end_inset
  122. \begin_inset Index idx
  123. status collapsed
  124. \begin_layout Plain Layout
  125. lissage|see
  126. \begin_inset ERT
  127. status collapsed
  128. \begin_layout Plain Layout
  129. {
  130. \end_layout
  131. \end_inset
  132. filtrage
  133. \begin_inset ERT
  134. status collapsed
  135. \begin_layout Plain Layout
  136. }
  137. \end_layout
  138. \end_inset
  139. \end_layout
  140. \end_inset
  141. \begin_inset Index idx
  142. status collapsed
  143. \begin_layout Plain Layout
  144. filtrage
  145. \end_layout
  146. \end_inset
  147. Cette méthode lisse spatialement les valeurs d'un champ scalaire porté
  148. par les sommets d'un maillage, en utilisant la topologie du maillage.
  149. La valeur scalaire au niveau d'un sommet est remplacée par une moyenne
  150. (pondérée par la distance) des valeurs scalaires portées par les sommets
  151. voisins.
  152. \begin_inset Newline newline
  153. \end_inset
  154. \end_layout
  155. \begin_layout Standard
  156. Remarque : cette fonction est beaucoup plus rapide que la fonction
  157. \emph on
  158. Gaussian filter
  159. \emph default
  160. \begin_inset Index idx
  161. status collapsed
  162. \begin_layout Plain Layout
  163. filtrage!gaussien
  164. \end_layout
  165. \end_inset
  166. (section
  167. \begin_inset space ~
  168. \end_inset
  169. \begin_inset CommandInset ref
  170. LatexCommand ref
  171. reference "subsection:scalarFieldGaussianFilter"
  172. \end_inset
  173. ) appliquée à un nuage de points non structuré.
  174. Elle ne permet par contre pas de régler la taille du
  175. \shape italic
  176. noyau
  177. \shape default
  178. de lissage.
  179. \end_layout
  180. \end_body
  181. \end_document