Comparism of different statistical models used in shape index calculation

ŠINDLÁŘ, Vojtěch and Stanislav KATINA. Comparism of different statistical models used in shape index calculation. In ODAM 2019. 2019.

Basic information

• Original name: Comparism of different statistical models used in shape index calculation
• Name in Czech: Porovnání rozdílných statistických modelů ve výpočtu tvarového indexu
• Name (in English): Comparism of different statistical models used in shape index calculation
• Authors: ŠINDLÁŘ, Vojtěch and Stanislav KATINA.
• Edition: ODAM 2019, 2019.

Other information

• Type of outcome: Presentations at conferences
• Confidentiality degree: is not subject to a state or trade secret
• Keywords (in Czech): tvarový index, triangulace, lidské tváře, lineární statistické modely, hlavní křivosti,
• Keywords in English: shape index, triangulation, human faces, linear statistical models, principal curvatures

Abstract

Shape index, the measure of local surface topology, is calculated using several different linear statistical models of z coordinates on x and y coordinates, i.e. quadratic with interaction without and with intercept, cubic with interaction of x and y without and with intercept (with and without other interactions), and similar models of higher order. The estimates of regression coefficients related to the quadratic terms and their interaction are elements of Weingarten matrix from which the principal curvatures are calculated. Our data contain stereo-photogrammetry images of human faces. We used one control (healthy) patient and one facial palsy patient to demonstrate differenties of selected linear models. The results are compared numerically and visually by static images of the human face in different views, i.e. frontal, lateral and vertical. All statistical analyses and visualisations are performed in R.

Links

• MUNI/A/1503/2018, interní kód MU: Name: Matematické statistické modelování 3 (Acronym: MaStaMo3)

Investor: Masaryk University, Category A