Abstract: A method is provided for generating a three-dimensional reconstruction of a portion of a surface of an organ, and, in particular, a portion of the surface of a chamber of the heart. The reconstruction is generated from location data of a plurality of acquisition points on the organ surface. The method comprises computing a two-dimensional reference plane based on the location data. A function that describes the surface is computed, wherein each point on the surface may be described as a function of the reference plane. The function is then bounded to a constrained region. Tessellation of the function facilitates computer display of the reconstruction. If the location data is accompanied by physiologic property data characteristic of the tissue, the method may be used to generate a reconstruction of the tissue property as a function of the tissue geometry.