k 2019

Comparism of different statistical models used in shape index calculation

ŠINDLÁŘ, Vojtěch and Stanislav KATINA

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
Changed: 8/6/2024 17:18, Mgr. Vojtěch Šindlář

Abstract

In the original language

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