**Biomedical Images Analysis**

**Chapter 3**

**Provisional chapter**

**Spatiotemporal Statistical Shape Model Construction**

**Spatiotemporal Statistical Shape Model Construction** 

This chapter introduces a spatiotemporal statistical shape model (stSSM) using brain MR image which will represent not only the statistical variability of shape but also a temporal change of the statistical variance with time. The proposed method applies expectationmaximization (EM)-based weighted principal component analysis (WPCA) using a temporal weight function, where E-step estimates Eigenvalues of every data using temporal Eigenvectors, and M-step updates Eigenvectors to maximize the variance. The method constructs stSSM whose Eigenvectors change with time. By assigning a predefined weight parameter for each subject according to subjects' age, it calculates the weighted variance for time-specific stSSM. To validate the method, this study employed 105 adult subjects (age: 30–84 years old with mean ± SD = 60.61 ± 16.97) from OASIS database. stSSM constructed for time point 40–80 with a step of 2. The proposed method allows the characterization of typical deformation patterns and subject-specific shape changes in repeated time-series observations of several subjects where the modeling performance

Quantifying cortical morphological dynamics of brain deformation will help neuroscientists identifying and characterizing brain deformation disorders. To be precise, if physicians could learn to predict the normal cortical shape evolution for healthy adults, they can predict

> © 2016 The Author(s). Licensee InTech. This chapter is distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

© 2018 The Author(s). Licensee IntechOpen. This chapter is distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use,

distribution, and reproduction in any medium, provided the original work is properly cited.

DOI: 10.5772/intechopen.80592

**for the Observation of Temporal Change in Human**

**for the Observation of Temporal Change in Human** 

**Brain Shape**

**Abstract**

**1. Introduction**

**Brain Shape**

Saadia Binte Alam and Syoji Kobashi

Saadia Binte Alam and Syoji Kobashi

http://dx.doi.org/10.5772/intechopen.80592

was observed by optimizing variance.

**Keywords:** stSSM, brain, MRI, shape analysis, age, prediction

Additional information is available at the end of the chapter

Additional information is available at the end of the chapter
