In mathematics and applications, the signed distance function of a set Ω in a metric space, also called the oriented distance function, determines the distance of a given point x from the boundary of Ω, with the sign determined by whether x is in Ω. The function has positive values at points x inside Ω, it decreases in value as x approaches the boundary of Ω where the signed distance function is zero, and it takes negative values outside of Ω.
Read more about Signed Distance Function: Definition, Properties in Euclidean Space, See Also
Famous quotes containing the words signed, distance and/or function:
“My fellow Americans, I am pleased to tell you today that Ive signed legislation which outlaws Russia forever. The bombing begins in five minutes.”
—Ronald Reagan (b. 1911)
“No doubt, the short distance to which you can see in the woods, and the general twilight, would at length react on the inhabitants, and make them savages. The lakes also reveal the mountains, and give ample scope and range to our thought.”
—Henry David Thoreau (18171862)
“Any translation which intends to perform a transmitting function cannot transmit anything but informationhence, something inessential. This is the hallmark of bad translations.”
—Walter Benjamin (18921940)