samplePoints.lyx 4.2 KB

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259
  1. #LyX 2.0 created this file. For more info see http://www.lyx.org/
  2. \lyxformat 413
  3. \begin_document
  4. \begin_header
  5. \textclass book
  6. \use_default_options false
  7. \maintain_unincluded_children false
  8. \language french
  9. \language_package default
  10. \inputencoding latin9
  11. \fontencoding T1
  12. \font_roman default
  13. \font_sans helvet
  14. \font_typewriter default
  15. \font_default_family sfdefault
  16. \use_non_tex_fonts false
  17. \font_sc false
  18. \font_osf false
  19. \font_sf_scale 100
  20. \font_tt_scale 100
  21. \graphics default
  22. \default_output_format default
  23. \output_sync 0
  24. \bibtex_command default
  25. \index_command default
  26. \paperfontsize 10
  27. \spacing single
  28. \use_hyperref true
  29. \pdf_bookmarks true
  30. \pdf_bookmarksnumbered false
  31. \pdf_bookmarksopen false
  32. \pdf_bookmarksopenlevel 1
  33. \pdf_breaklinks false
  34. \pdf_pdfborder false
  35. \pdf_colorlinks true
  36. \pdf_backref false
  37. \pdf_pdfusetitle true
  38. \pdf_quoted_options "linkcolor=blue"
  39. \papersize a4paper
  40. \use_geometry true
  41. \use_amsmath 1
  42. \use_esint 1
  43. \use_mhchem 0
  44. \use_mathdots 0
  45. \cite_engine basic
  46. \use_bibtopic false
  47. \use_indices false
  48. \paperorientation portrait
  49. \suppress_date true
  50. \use_refstyle 0
  51. \index Index
  52. \shortcut idx
  53. \color #008000
  54. \end_index
  55. \leftmargin 1.5cm
  56. \topmargin 3cm
  57. \rightmargin 1.5cm
  58. \bottommargin 3cm
  59. \secnumdepth 3
  60. \tocdepth 3
  61. \paragraph_separation indent
  62. \paragraph_indentation default
  63. \quotes_language french
  64. \papercolumns 1
  65. \papersides 2
  66. \paperpagestyle fancy
  67. \tracking_changes false
  68. \output_changes false
  69. \html_math_output 0
  70. \html_css_as_file 0
  71. \html_be_strict false
  72. \end_header
  73. \begin_body
  74. \begin_layout Subsection
  75. Mesh > Sample Points
  76. \end_layout
  77. \begin_layout Standard
  78. \begin_inset CommandInset label
  79. LatexCommand label
  80. name "subsection:samplePoints"
  81. \end_inset
  82. \begin_inset Index idx
  83. status collapsed
  84. \begin_layout Plain Layout
  85. echantillonner@échantillonner!des points sur un maillage
  86. \end_layout
  87. \end_inset
  88. \end_layout
  89. \begin_layout Standard
  90. Cette fonction échantillonne de manière aléatoire des points sur une surface
  91. décrite par un maillage triangulaire (voir figure
  92. \begin_inset space ~
  93. \end_inset
  94. \begin_inset CommandInset ref
  95. LatexCommand ref
  96. reference "fig:pointsSampling"
  97. \end_inset
  98. ).
  99. \begin_inset Newline newline
  100. \end_inset
  101. \end_layout
  102. \begin_layout Standard
  103. \begin_inset Float figure
  104. placement !h
  105. wide false
  106. sideways false
  107. status open
  108. \begin_layout Plain Layout
  109. \align center
  110. \begin_inset Graphics
  111. filename ../images/Partie3_Fonctions/pointsSampling.jpg
  112. width 90text%
  113. \end_inset
  114. \begin_inset Caption
  115. \begin_layout Plain Layout
  116. \begin_inset CommandInset label
  117. LatexCommand label
  118. name "fig:pointsSampling"
  119. \end_inset
  120. Illustration du principe de l'échantillonnage de points sur un maillage
  121. \end_layout
  122. \end_inset
  123. \end_layout
  124. \end_inset
  125. \end_layout
  126. \begin_layout Standard
  127. Cette fonction génère un nouveau nuage de points.
  128. L'utilisateur à le choix via l'interface
  129. \begin_inset space ~
  130. \end_inset
  131. \begin_inset CommandInset ref
  132. LatexCommand ref
  133. reference "fig:samplePointsOnMeshDlg"
  134. \end_inset
  135. de spécifier :
  136. \end_layout
  137. \begin_layout Itemize
  138. soit le nombre total de points désiré (approximatif).
  139. \end_layout
  140. \begin_layout Itemize
  141. soit la densité par unité de surface.
  142. Attention, la surface est exprimée dans l'unité implicite (au carré) des
  143. sommets du maillage.
  144. Pour connaitre la surface totale du maillage
  145. \begin_inset Index idx
  146. status collapsed
  147. \begin_layout Plain Layout
  148. surface, mesurer
  149. \end_layout
  150. \end_inset
  151. , vous pouvez appeler préalablement la fonction
  152. \begin_inset Quotes ard
  153. \end_inset
  154. Mesh > Measure surface
  155. \begin_inset Quotes ald
  156. \end_inset
  157. (section
  158. \begin_inset space ~
  159. \end_inset
  160. \begin_inset CommandInset ref
  161. LatexCommand ref
  162. reference "subsection:measureSurface"
  163. \end_inset
  164. ).
  165. \begin_inset Newline newline
  166. \end_inset
  167. \end_layout
  168. \begin_layout Standard
  169. \begin_inset Float figure
  170. placement !h
  171. wide false
  172. sideways false
  173. status open
  174. \begin_layout Plain Layout
  175. \align center
  176. \begin_inset Graphics
  177. filename ../images/Partie3_Fonctions/samplePointsOnMeshDlg.png
  178. width 30text%
  179. \end_inset
  180. \begin_inset Caption
  181. \begin_layout Plain Layout
  182. \begin_inset CommandInset label
  183. LatexCommand label
  184. name "fig:samplePointsOnMeshDlg"
  185. \end_inset
  186. Interface pour l'échantillonnage de points sur un maillage
  187. \end_layout
  188. \end_inset
  189. \end_layout
  190. \end_inset
  191. \end_layout
  192. \end_body
  193. \end_document