How to save image without border?

=======
Q:

Hi there,

Whenever I save a figure using:
imshow(I)
print frame1.tif -f1 -dtiff

or by using:
h = imshow(I)
saveas( h, 'frame1.tif', 'tif' )

, I always get a white border around the image (which is
present in the figure window). Does anyone know how to just
save the image itself with no border around it?

Thanks

===
A:

>>set(gca, 'position', [0 0 1 1], 'visible', 'off')
>> print(3,'-djpeg','C:\Documents and Settings\My Documents\3.jpg');


======
Also

用matlab保存图片的四种方法：

1 直接从菜单保存，有fig,eps,jpeg,gif,png,bmp等格式。

2 edit------〉copy figure，再粘贴到其他程序。

3 用saveas命令保存图片。

4 使用plot函数后紧接着用print函数。

print的三个参数：

（1）图形句柄，如果图形窗口标题栏是“Figure 3”,则句柄就是3.（2）单引号字符串，指定存储格式。

用gcf可以获取当前窗口句柄。

png格式：'-dpng'

jpeg: '-djpeg',

tiff: '-dtiff'

bmp: '-dbitmap'

（3）文件名。

详细用法请 help print

例：

>> x=-pi:2*pi/300:pi;
>> y=sin(x);
>> plot(x,y);
>> print(gcf,'-dpng','abc.png') % 保存为png格式的图片。

>> figure(2) % 新建一个句柄为2的图形窗口。
>> plot(x,cos(x)); % 在句柄为2的图形窗口上画图。
>> grid
>> print(2,'-djpeg','C:\abc.jpeg'); %将句柄为2的图形保存为jpeg/jpg格式的图片，文件名为'C:\abc.jpeg'。

FSPECIAL

help fspecial

FSPECIAL Create predefined 2-D filters.
H = FSPECIAL(TYPE) creates a two-dimensional filter H of the
specified type. Possible values for TYPE are:

'average' averaging filter
'disk' circular averaging filter
'gaussian' Gaussian lowpass filter
'laplacian' filter approximating the 2-D Laplacian operator
'log' Laplacian of Gaussian filter
'motion' motion filter
'prewitt' Prewitt horizontal edge-emphasizing filter
'sobel' Sobel horizontal edge-emphasizing filter
'unsharp' unsharp contrast enhancement filter

Depending on TYPE, FSPECIAL may take additional parameters
which you can supply. These parameters all have default
values.

H = FSPECIAL('average',HSIZE) returns an averaging filter H of size
HSIZE. HSIZE can be a vector specifying the number of rows and columns in
H or a scalar, in which case H is a square matrix.
The default HSIZE is [3 3].

H = FSPECIAL('disk',RADIUS) returns a circular averaging filter
(pillbox) within the square matrix of side 2*RADIUS+1.
The default RADIUS is 5.

H = FSPECIAL('gaussian',HSIZE,SIGMA) returns a rotationally
symmetric Gaussian lowpass filter of size HSIZE with standard
deviation SIGMA (positive). HSIZE can be a vector specifying the
number of rows and columns in H or a scalar, in which case H is a
square matrix.
The default HSIZE is [3 3], the default SIGMA is 0.5.

H = FSPECIAL('laplacian',ALPHA) returns a 3-by-3 filter
approximating the shape of the two-dimensional Laplacian
operator. The parameter ALPHA controls the shape of the
Laplacian and must be in the range 0.0 to 1.0.
The default ALPHA is 0.2.

H = FSPECIAL('log',HSIZE,SIGMA) returns a rotationally symmetric
Laplacian of Gaussian filter of size HSIZE with standard deviation
SIGMA (positive). HSIZE can be a vector specifying the number of rows
and columns in H or a scalar, in which case H is a square matrix.
The default HSIZE is [5 5], the default SIGMA is 0.5.

H = FSPECIAL('motion',LEN,THETA) returns a filter to approximate, once
convolved with an image, the linear motion of a camera by LEN pixels,
with an angle of THETA degrees in a counter-clockwise direction. The
filter becomes a vector for horizontal and vertical motions. The
default LEN is 9, the default THETA is 0, which corresponds to a
horizontal motion of 9 pixels.

H = FSPECIAL('prewitt') returns 3-by-3 filter that emphasizes
horizontal edges by approximating a vertical gradient. If you need to
emphasize vertical edges, transpose the filter H: H'.

[1 1 1;0 0 0;-1 -1 -1].

H = FSPECIAL('sobel') returns 3-by-3 filter that emphasizes
horizontal edges utilizing the smoothing effect by approximating a
vertical gradient. If you need to emphasize vertical edges, transpose
the filter H: H'.

[1 2 1;0 0 0;-1 -2 -1].

H = FSPECIAL('unsharp',ALPHA) returns a 3-by-3 unsharp contrast
enhancement filter. FSPECIAL creates the unsharp filter from the
negative of the Laplacian filter with parameter ALPHA. ALPHA controls
the shape of the Laplacian and must be in the range 0.0 to 1.0.
The default ALPHA is 0.2.

Class Support
-------------
H is of class double.

Example
-------
I = imread('cameraman.tif');
subplot(2,2,1);imshow(I);title('Original Image');
H = fspecial('motion',20,45);
MotionBlur = imfilter(I,H,'replicate');
subplot(2,2,2);imshow(MotionBlur);title('Motion Blurred Image');
H = fspecial('disk',10);
blurred = imfilter(I,H,'replicate');
subplot(2,2,3);imshow(blurred);title('Blurred Image');
H = fspecial('unsharp');
sharpened = imfilter(I,H,'replicate');
subplot(2,2,4);imshow(sharpened);title('Sharpened Image');

See also conv2, edge, filter2, fsamp2, fwind1, fwind2, imfilter.

Reference page in Help browser
doc fspecial

gradient

code

[x,y] = meshgrid(-2:.2:2,-1:.15:1);
z = x .* exp(-x.^2 - y.^2); [px,py] = gradient(z,.2,.15);
contour(x,y,z), hold on
quiver(x,y,px,py), hold off, axis image





------

Geometric Spatial Transformation

[x y 1]=[w z 1]T

T = [ t11 t12 0]
[ t21 t22 0]
[ t31 t32 1]

relational operators

关系运算

>> A

A =

1 2
3 4

>> B

B =

1 3
4 2

>> A < B

ans =

0 1
1 0



>> A >= 2

ans =

0 1
1 1

index 问题

对于二维矩阵，可以用二维的下标引用，这是最直观，自然的。但是在内存中，matlab矩阵的存储次序如何呢，是一列一列的存的。比如，

>> A = rand(2,5)

A =

0.4089 0.1436 0.0832 0.0304 0.7000
0.7080 0.8713 0.4617 0.7532 0.2145

在内存中，则是，

起始地址 Addr

Addr ：0.4089
Addr +1：0.7080
Addr +2：0.1436
Addr +3：0.8713
Addr +4：0.0832
Addr +5：0.4617
。。。

所以，
>> A(6)

ans =

0.4617

>> A(2,3)

ans =

0.4617

MATLAB functions

MATLAB provides a large number of standard elementary mathematical functions, including abs, sqrt, exp, and sin. Taking the square root or logarithm of a negative number is not an error; the appropriate complex result is produced automatically. MATLAB also provides many more advanced mathematical functions, including Bessel and gamma functions. Most of these functions accept complex arguments. For a list of the elementary mathematical functions, type

help elfun

For a list of more advanced mathematical and matrix functions, type

help specfun
help elmat

Some of the functions, like sqrt and sin, are built in. Built-in functions are part of the MATLAB core so they are very efficient, but the computational details are not readily accessible. Other functions, like gamma and sinh, are implemented in M-files.

There are some differences between built-in functions and other functions. For example, for built-in functions, you cannot see the code. For other functions, you can see the code and even modify it if you want.

Several special functions provide values of useful constants.

pi


3.14159265...

i


Imaginary unit,

j


Same as i

eps


Floating-point relative precision,

realmin


Smallest floating-point number,

realmax


Largest floating-point number,

Inf


Infinity

NaN


Not-a-number

Infinity is generated by dividing a nonzero value by zero, or by evaluating well defined mathematical expressions that overflow, i.e., exceed realmax. Not-a-number is generated by trying to evaluate expressions like 0/0 or Inf-Inf that do not have well defined mathematical values.

The function names are not reserved. It is possible to overwrite any of them with a new variable, such as

eps = 1.e-6

and then use that value in subsequent calculations. The original function can be restored with

clear eps


>> help elfun
Elementary math functions.

Trigonometric.
sin - Sine.
sind - Sine of argument in degrees.
sinh - Hyperbolic sine.
asin - Inverse sine.
asind - Inverse sine, result in degrees.
asinh - Inverse hyperbolic sine.
cos - Cosine.
cosd - Cosine of argument in degrees.
cosh - Hyperbolic cosine.
acos - Inverse cosine.
acosd - Inverse cosine, result in degrees.
acosh - Inverse hyperbolic cosine.
tan - Tangent.
tand - Tangent of argument in degrees.
tanh - Hyperbolic tangent.
atan - Inverse tangent.
atand - Inverse tangent, result in degrees.
atan2 - Four quadrant inverse tangent.
atanh - Inverse hyperbolic tangent.
sec - Secant.
secd - Secant of argument in degrees.
sech - Hyperbolic secant.
asec - Inverse secant.
asecd - Inverse secant, result in degrees.
asech - Inverse hyperbolic secant.
csc - Cosecant.
cscd - Cosecant of argument in degrees.
csch - Hyperbolic cosecant.
acsc - Inverse cosecant.
acscd - Inverse cosecant, result in degrees.
acsch - Inverse hyperbolic cosecant.
cot - Cotangent.
cotd - Cotangent of argument in degrees.
coth - Hyperbolic cotangent.
acot - Inverse cotangent.
acotd - Inverse cotangent, result in degrees.
acoth - Inverse hyperbolic cotangent.
hypot - Square root of sum of squares.

Exponential.
exp - Exponential.
expm1 - Compute exp(x)-1 accurately.
log - Natural logarithm.
log1p - Compute log(1+x) accurately.
log10 - Common (base 10) logarithm.
log2 - Base 2 logarithm and dissect floating point number.
pow2 - Base 2 power and scale floating point number.
realpow - Power that will error out on complex result.
reallog - Natural logarithm of real number.
realsqrt - Square root of number greater than or equal to zero.
sqrt - Square root.
nthroot - Real n-th root of real numbers.
nextpow2 - Next higher power of 2.

Complex.
abs - Absolute value.
angle - Phase angle.
complex - Construct complex data from real and imaginary parts.
conj - Complex conjugate.
imag - Complex imaginary part.
real - Complex real part.
unwrap - Unwrap phase angle.
isreal - True for real array.
cplxpair - Sort numbers into complex conjugate pairs.

Rounding and remainder.
fix - Round towards zero.
floor - Round towards minus infinity.
ceil - Round towards plus infinity.
round - Round towards nearest integer.
mod - Modulus (signed remainder after division).
rem - Remainder after division.
sign - Signum.

>> help elmat
Elementary matrices and matrix manipulation.

Elementary matrices.
zeros - Zeros array.
ones - Ones array.
eye - Identity matrix.
repmat - Replicate and tile array.
rand - Uniformly distributed random numbers.
randn - Normally distributed random numbers.
linspace - Linearly spaced vector.
logspace - Logarithmically spaced vector.
freqspace - Frequency spacing for frequency response.
meshgrid - X and Y arrays for 3-D plots.
accumarray - Construct an array with accumulation.
: - Regularly spaced vector and index into matrix.

Basic array information.
size - Size of array.
length - Length of vector.
ndims - Number of dimensions.
numel - Number of elements.
disp - Display matrix or text.
isempty - True for empty array.
isequal - True if arrays are numerically equal.
isequalwithequalnans - True if arrays are numerically equal.

Matrix manipulation.
cat - Concatenate arrays.
reshape - Change size.
diag - Diagonal matrices and diagonals of matrix.
blkdiag - Block diagonal concatenation.
tril - Extract lower triangular part.
triu - Extract upper triangular part.
fliplr - Flip matrix in left/right direction.
flipud - Flip matrix in up/down direction.
flipdim - Flip matrix along specified dimension.
rot90 - Rotate matrix 90 degrees.
: - Regularly spaced vector and index into matrix.
find - Find indices of nonzero elements.
end - Last index.
sub2ind - Linear index from multiple subscripts.
ind2sub - Multiple subscripts from linear index.
bsxfun - Binary singleton expansion function.

Multi-dimensional array functions.
ndgrid - Generate arrays for N-D functions and interpolation.
permute - Permute array dimensions.
ipermute - Inverse permute array dimensions.
shiftdim - Shift dimensions.
circshift - Shift array circularly.
squeeze - Remove singleton dimensions.

Array utility functions.
isscalar - True for scalar.
isvector - True for vector.

Special variables and constants.
ans - Most recent answer.
eps - Floating point relative accuracy.
realmax - Largest positive floating point number.
realmin - Smallest positive floating point number.
pi - 3.1415926535897....
i - Imaginary unit.
inf - Infinity.
nan - Not-a-Number.
isnan - True for Not-a-Number.
isinf - True for infinite elements.
isfinite - True for finite elements.
j - Imaginary unit.
why - Succinct answer.

Specialized matrices.
compan - Companion matrix.
gallery - Higham test matrices.
hadamard - Hadamard matrix.
hankel - Hankel matrix.
hilb - Hilbert matrix.
invhilb - Inverse Hilbert matrix.
magic - Magic square.
pascal - Pascal matrix.
rosser - Classic symmetric eigenvalue test problem.
toeplitz - Toeplitz matrix.
vander - Vandermonde matrix.
wilkinson - Wilkinson's eigenvalue test matrix.

>> help specfun
Specialized math functions.

Specialized math functions.
airy - Airy functions.
besselj - Bessel function of the first kind.
bessely - Bessel function of the second kind.
besselh - Bessel functions of the third kind (Hankel function).
besseli - Modified Bessel function of the first kind.
besselk - Modified Bessel function of the second kind.
beta - Beta function.
betainc - Incomplete beta function.
betaln - Logarithm of beta function.
ellipj - Jacobi elliptic functions.
ellipke - Complete elliptic integral.
erf - Error function.
erfc - Complementary error function.
erfcx - Scaled complementary error function.
erfinv - Inverse error function.
expint - Exponential integral function.
gamma - Gamma function.
gammainc - Incomplete gamma function.
gammaln - Logarithm of gamma function.
psi - Psi (polygamma) function.
legendre - Associated Legendre function.
cross - Vector cross product.
dot - Vector dot product.

Number theoretic functions.
factor - Prime factors.
isprime - True for prime numbers.
primes - Generate list of prime numbers.
gcd - Greatest common divisor.
lcm - Least common multiple.
rat - Rational approximation.
rats - Rational output.
perms - All possible permutations.
nchoosek - All combinations of N elements taken K at a time.
factorial - Factorial function.

Coordinate transforms.
cart2sph - Transform Cartesian to spherical coordinates.
cart2pol - Transform Cartesian to polar coordinates.
pol2cart - Transform polar to Cartesian coordinates.
sph2cart - Transform spherical to Cartesian coordinates.
hsv2rgb - Convert hue-saturation-value colors to red-green-blue.
rgb2hsv - Convert red-green-blue colors to hue-saturation-value.