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Evaluation of the Newton-Raphson method for three-point resection in photogrammetry / S.M. Easa in SaLIS Surveying and land information science, vol 67 n° 1 (March 2007)

Public [article]  inSaLIS Surveying and land information science > vol 67 n° 1 (March 2007) . - pp 33 - 42 Titre : Evaluation of the Newton-Raphson method for three-point resection in photogrammetry Type de document : Article/Communication Auteurs : S.M. Easa, Auteur Année de publication : 2007 Article en page(s) : pp 33 - 42 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Photogrammétrie numérique [Termes IGN] méthode itérative de Newton-Raphson [Termes IGN] relèvement [Termes IGN] relèvement photogrammétrique Résumé : (Auteur) Three-point resection in photogrammetry (based on measured distances between three object points and the corresponding image coordinates) has been a viable approach because it does not require data on the object coordinates. Many iterative and closed-form solutions of the problem have been developed. The problem may have up to four solutions for the distances between the exposure station and the objects. Due to the complexity of the closed-form solutions, a simple method involving Newton-Raphson (N-R) search has recently been suggested for determining the unique (correct) solution for the Grunert's quartic polynomial. The N-R method, however, may not converge to the unique solution. This paper first describes the geometry of the three-point resection and the difficulties with the N-R method. A new Excel-based method that identifies all four solutions of the quartic polynomial is then presented. The method does not require initial estimates of the roots. Situations in which the N-R method is useful are highlighted. Application examples are used to illustrate the issues and concepts addressed. The proposed method, which provides insights into space resection, should be of interest to both researchers and educators. Copyright SaLIS Numéro de notice : A2007-211 Affiliation des auteurs : non IGN Thématique : IMAGERIE Nature : Article DOI : sans Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=83654 [article]

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121-07011	RAB	Revue	Centre de documentation	En réserve L003	Disponible

Subdividing a quadrilateral land area by intersecting lines / S.M. Easa in Surveying and Mapping, vol 49 n° 3 (Fall 1989)

Public [article]  inSurveying and Mapping > vol 49 n° 3 (Fall 1989) . - pp 149 - 153 Titre : Subdividing a quadrilateral land area by intersecting lines Type de document : Article/Communication Auteurs : S.M. Easa, Auteur Année de publication : 1989 Article en page(s) : pp 149 - 153 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Cadastre [Termes IGN] parcelle cadastrale Numéro de notice : A1989-251 Affiliation des auteurs : non IGN Thématique : GEOMATIQUE Nature : Article DOI : sans Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=25211 [article]

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Code-barres	Cote	Support	Localisation	Section	Disponibilité
121-89031	RAB	Revue	Centre de documentation	En réserve L003	Disponible