Vertical fault detection from scattered data
The purpose of this paper is to study the problem of detection of vertical faults in explicit surfaces. First, we establish a characterization of jump discontinuities for bivariate functions. Next, we derive a detection method of vertical faults in surfaces which takes as input a set of scattered da...
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| Published in: | Journal of computational and applied mathematics Vol. 73; no. 1; pp. 225 - 239 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
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Amsterdam
Elsevier B.V
05-10-1996
Elsevier |
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| Abstract | The purpose of this paper is to study the problem of detection of vertical faults in explicit surfaces. First, we establish a characterization of jump discontinuities for bivariate functions. Next, we derive a detection method of vertical faults in surfaces which takes as input a set of scattered data points. Finally, some numerical and graphical examples are given. |
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| AbstractList | The purpose of this paper is to study the problem of detection of vertical faults in explicit surfaces. First, we establish a characterization of jump discontinuities for bivariate functions. Next, we derive a detection method of vertical faults in surfaces which takes as input a set of scattered data points. Finally, some numerical and graphical examples are given. |
| Author | de Silanes, M.C.López Torrens, J.J. Parra, M.C. |
| Author_xml | – sequence: 1 givenname: M.C. surname: Parra fullname: Parra, M.C. organization: Departamento de Matemática Aplicada, EUITI, Universidad de Zaragoza, Corona de Aragón, 35, 50009 Zaragoza, Spain – sequence: 2 givenname: M.C.López surname: de Silanes fullname: de Silanes, M.C.López email: mclsilanes@mcps.unizar.es organization: Departamento de Matemática Aplicada, C.P.S., Universidad de Zaragoza, María de Luna 3, 50015 Zaragoza, Spain – sequence: 3 givenname: J.J. surname: Torrens fullname: Torrens, J.J. organization: Departamento de Matemática e Informática, Universidad Pública de Navarra, Campus de Arrosadía s/n, 31006 Pamplona, Spain |
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| Cites_doi | 10.1051/m2an/1986200100891 10.1109/18.119727 10.1137/0912018 10.1007/BF02142688 |
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| Copyright | 1996 1997 INIST-CNRS |
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| EndPage | 239 |
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| Keywords | Scattered data Vertical faults Explicit surface Fault detection Surfaces Data analysis Numerical methods |
| Language | English |
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| References | Chen, Schmitt (BIB4) 1994; 26 Torrens (BIB12) 1992 Torrens (BIB13) 1994 Bartle (BIB3) 1976 Lee (BIB8) 1991; 12 Manzanilla (BIB10) 1986 Arcangéli (BIB1) 1989 Serres (BIB11) 1992 Franke, Nielson (BIB5) 1983 Mallat, Hwang (BIB9) 1992; 38 Laurent (BIB7) 1986; 20 Arge, Floater (BIB2) 1994; 8 Klein (BIB6) 1987 Torrens (10.1016/0377-0427(96)00045-3_BIB13) 1994 Franke (10.1016/0377-0427(96)00045-3_BIB5) 1983 Klein (10.1016/0377-0427(96)00045-3_BIB6) 1987 Manzanilla (10.1016/0377-0427(96)00045-3_BIB10) 1986 Laurent (10.1016/0377-0427(96)00045-3_BIB7) 1986; 20 Serres (10.1016/0377-0427(96)00045-3_BIB11) 1992 Torrens (10.1016/0377-0427(96)00045-3_BIB12) 1992 Arge (10.1016/0377-0427(96)00045-3_BIB2) 1994; 8 Arcangéli (10.1016/0377-0427(96)00045-3_BIB1) 1989 Lee (10.1016/0377-0427(96)00045-3_BIB8) 1991; 12 Mallat (10.1016/0377-0427(96)00045-3_BIB9) 1992; 38 Bartle (10.1016/0377-0427(96)00045-3_BIB3) 1976 Chen (10.1016/0377-0427(96)00045-3_BIB4) 1994; 26 |
| References_xml | – volume: 20 start-page: 89 year: 1986 end-page: 111 ident: BIB7 article-title: Inf-convolution spline pour l'approximation de données discontinues, publication-title: Anal. Numer contributor: fullname: Laurent – year: 1992 ident: BIB11 article-title: Sur la reconstruction de surfaces de type explicite présentant des failles publication-title: Thèse contributor: fullname: Serres – start-page: 485 year: 1994 end-page: 492 ident: BIB13 article-title: Approximation of parametric surfaces with discontinuities by discrete smoothing publication-title: Wavelets, Images, and Surface Fitting contributor: fullname: Torrens – start-page: 35 year: 1989 end-page: 44 ident: BIB1 article-title: Some applications of discrete publication-title: Mathematical Methods in Computer Aided Geometric Design contributor: fullname: Arcangéli – volume: 12 start-page: 311 year: 1991 end-page: 341 ident: BIB8 article-title: Detection, classification, and measurement of discontinuities publication-title: SIAM J. Sci. Statist Comput. contributor: fullname: Lee – year: 1976 ident: BIB3 article-title: The Elements of Real Analysis contributor: fullname: Bartle – volume: 26 start-page: 632 year: 1994 end-page: 645 ident: BIB4 article-title: Surface modelling of range data by constrained triangulation publication-title: CAD contributor: fullname: Schmitt – volume: 38 start-page: 617 year: 1992 end-page: 643 ident: BIB9 article-title: Singularity detection and processing with wavelets publication-title: IEEE Trans. Inform. Theory contributor: fullname: Hwang – start-page: 135 year: 1983 end-page: 146 ident: BIB5 article-title: Surface approximation with imposed conditions publication-title: Surfaces in CAGD contributor: fullname: Nielson – year: 1986 ident: BIB10 article-title: Sur l'approximation de surfaces définies par une équation explicite publication-title: Thèse contributor: fullname: Manzanilla – year: 1992 ident: BIB12 article-title: Interpolación de superficies paramétricas con discontinuidades mediante elementos finitos, Aplicaciones publication-title: Tesis, Publicaciones del Seminario Matemático Garcia de Galdeano, Serie II, Sección 2, no. 24 contributor: fullname: Torrens – volume: 8 start-page: 149 year: 1994 end-page: 166 ident: BIB2 article-title: Approximating scattered data with discontinuities publication-title: Numer. Algorithms contributor: fullname: Floater – year: 1987 ident: BIB6 article-title: Sur l'approximation et la représentation de surfaces explicites en présence de singularités publication-title: Thèse 3e cycle contributor: fullname: Klein – year: 1987 ident: 10.1016/0377-0427(96)00045-3_BIB6 article-title: Sur l'approximation et la représentation de surfaces explicites en présence de singularités contributor: fullname: Klein – volume: 20 start-page: 89 year: 1986 ident: 10.1016/0377-0427(96)00045-3_BIB7 article-title: Inf-convolution spline pour l'approximation de données discontinues, M2AN, RAIRO publication-title: Anal. Numer doi: 10.1051/m2an/1986200100891 contributor: fullname: Laurent – year: 1992 ident: 10.1016/0377-0427(96)00045-3_BIB12 article-title: Interpolación de superficies paramétricas con discontinuidades mediante elementos finitos, Aplicaciones contributor: fullname: Torrens – year: 1992 ident: 10.1016/0377-0427(96)00045-3_BIB11 article-title: Sur la reconstruction de surfaces de type explicite présentant des failles contributor: fullname: Serres – volume: 26 start-page: 632 year: 1994 ident: 10.1016/0377-0427(96)00045-3_BIB4 article-title: Surface modelling of range data by constrained triangulation publication-title: CAD contributor: fullname: Chen – volume: 38 start-page: 617 year: 1992 ident: 10.1016/0377-0427(96)00045-3_BIB9 article-title: Singularity detection and processing with wavelets publication-title: IEEE Trans. Inform. Theory doi: 10.1109/18.119727 contributor: fullname: Mallat – start-page: 35 year: 1989 ident: 10.1016/0377-0427(96)00045-3_BIB1 article-title: Some applications of discrete Dm splines contributor: fullname: Arcangéli – year: 1976 ident: 10.1016/0377-0427(96)00045-3_BIB3 contributor: fullname: Bartle – year: 1986 ident: 10.1016/0377-0427(96)00045-3_BIB10 article-title: Sur l'approximation de surfaces définies par une équation explicite contributor: fullname: Manzanilla – start-page: 485 year: 1994 ident: 10.1016/0377-0427(96)00045-3_BIB13 article-title: Approximation of parametric surfaces with discontinuities by discrete smoothing Dm-splines contributor: fullname: Torrens – start-page: 135 year: 1983 ident: 10.1016/0377-0427(96)00045-3_BIB5 article-title: Surface approximation with imposed conditions contributor: fullname: Franke – volume: 12 start-page: 311 year: 1991 ident: 10.1016/0377-0427(96)00045-3_BIB8 article-title: Detection, classification, and measurement of discontinuities publication-title: SIAM J. Sci. Statist Comput. doi: 10.1137/0912018 contributor: fullname: Lee – volume: 8 start-page: 149 year: 1994 ident: 10.1016/0377-0427(96)00045-3_BIB2 article-title: Approximating scattered data with discontinuities publication-title: Numer. Algorithms doi: 10.1007/BF02142688 contributor: fullname: Arge |
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| Snippet | The purpose of this paper is to study the problem of detection of vertical faults in explicit surfaces. First, we establish a characterization of jump... |
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| SubjectTerms | Approximations and expansions Exact sciences and technology Explicit surface Fault detection Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical approximation Numerical methods in mathematical programming Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Numerical methods in probability and statistics Scattered data Sciences and techniques of general use Vertical faults |
| Title | Vertical fault detection from scattered data |
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