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Minimal representations of 3D models in terms of image parameters under calibrated and uncalibrated perspective.
IEEE Trans Pattern Anal Mach Intell. 2004 Sep; 26(9):1234-8.IT

Abstract

Indexing is a well-known paradigm for object recognition. In indexing, each 3D model is represented as the set of values assumed by a given vector of image parameters in correspondence to all the possible images of the 3D model. An open problem, posed by Jacobs, concerned the minimum dimensionality of such sets under perspective. This paper proves that, under calibrated or uncalibrated perspective, the minimum dimensionality of the set representing any 3D modeled point-set is two. Two-dimensional representations are found also for 3D curved objects.

Authors+Show Affiliations

Caglioti V
Dipartimento di Elettronica e Informazione, Politecnico di Milano, Pza Leonardo da Vinci, 32, 20133 Milano, Italy. Vincenzo.Caglioti@Polimi.It

MeSH

AlgorithmsArtificial IntelligenceCalibrationComputer GraphicsImage EnhancementImage Interpretation, Computer-AssistedImaging, Three-DimensionalInformation Storage and RetrievalNumerical Analysis, Computer-AssistedPattern Recognition, AutomatedReproducibility of ResultsSensitivity and SpecificitySignal Processing, Computer-AssistedSubtraction TechniqueUser-Computer Interface

Pub Type(s)

Evaluation Study
Journal Article

Language

eng

PubMed ID

15742898

Citation

Caglioti, Vincenzo. "Minimal Representations of 3D Models in Terms of Image Parameters Under Calibrated and Uncalibrated Perspective." IEEE Transactions On Pattern Analysis and Machine Intelligence, vol. 26, no. 9, 2004, pp. 1234-8.
Caglioti V. Minimal representations of 3D models in terms of image parameters under calibrated and uncalibrated perspective. IEEE Trans Pattern Anal Mach Intell. 2004;26(9):1234-8.
Caglioti, V. (2004). Minimal representations of 3D models in terms of image parameters under calibrated and uncalibrated perspective. IEEE Transactions On Pattern Analysis and Machine Intelligence, 26(9), 1234-8.
Caglioti V. Minimal Representations of 3D Models in Terms of Image Parameters Under Calibrated and Uncalibrated Perspective. IEEE Trans Pattern Anal Mach Intell. 2004;26(9):1234-8. PubMed PMID: 15742898.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Minimal representations of 3D models in terms of image parameters under calibrated and uncalibrated perspective. A1 - Caglioti,Vincenzo, PY - 2005/3/4/pubmed PY - 2005/4/1/medline PY - 2005/3/4/entrez SP - 1234 EP - 8 JF - IEEE transactions on pattern analysis and machine intelligence JO - IEEE Trans Pattern Anal Mach Intell VL - 26 IS - 9 N2 - Indexing is a well-known paradigm for object recognition. In indexing, each 3D model is represented as the set of values assumed by a given vector of image parameters in correspondence to all the possible images of the 3D model. An open problem, posed by Jacobs, concerned the minimum dimensionality of such sets under perspective. This paper proves that, under calibrated or uncalibrated perspective, the minimum dimensionality of the set representing any 3D modeled point-set is two. Two-dimensional representations are found also for 3D curved objects. SN - 0162-8828 UR - https://www.unboundmedicine.com/medline/citation/15742898/Minimal_representations_of_3D_models_in_terms_of_image_parameters_under_calibrated_and_uncalibrated_perspective_ DB - PRIME DP - Unbound Medicine ER -