How to remove a small vertical gap below picture?

Question

I'm trying to put a picture at bottom of a title page, and I'm getting a very small vertical gap that I would like to remove.  Here's a MWE to show my issue:
documentclass[letterpaper]{book}
usepackage[T1]{fontenc}
usepackage{microtype}
usepackage{libertine}
renewcommand*familydefault{sfdefault}
usepackage{anysize}
marginsize{1.5in}{1in}{0.5in}{0.5in}
usepackage[x11names]{xcolor}
definecolor{backgroundcolor}{RGB}{150, 170, 190}
usepackage{graphicx}
usepackage{here}
usepackage{afterpage}
usepackage{tikz}
usetikzlibrary{calc}

newcommand*{maintitle}{begingroup
    pagecolor{backgroundcolor}
    vfill

raggedleft {huge Name}

begin{figure}[H]
        center
        includegraphics[width=1textwidth]{example-image}
    end{figure}
endgroup}

begin{document}

begin{titlepage}

% CADRE :
    begin{tikzpicture}[remember picture, overlay]
        draw[line width = 1in,color = white] ($(current page.north west) + (0.25in,0.25in)$) rectangle ($(current page.south east) + (0.25in,-0.25in)$);
        draw[line width = 0.25pt,color = black] ($(current page.north west) + (0.75in,-0.25in)$) rectangle ($(current page.south east) + (-0.25in,0.25in)$);
        draw[line width = 1pt,color = white] ($(current page.north west) + (1in,-0.5in)$) rectangle ($(current page.south east) + (-0.5in,0.5in)$);
    end{tikzpicture}

maintitle

end{titlepage}

end{document}

Preview, with the issue shown in red:

At first sight, the spacing v is equal to h, which is what I want.  But a closer inspection shows that v is actually slightly larger than h.  How can I make v exactly the same as h ?  What is wrong with my code?

EDIT:  After zooming and measuring, the difference is v - h = 1pt.  This is the same as the white line thickness drawn at the bottom, but I suspect this is just a coincidence.  I could solve my issue by adding vspace{-1pt} just under my figure environment, but I would like to understand (and properly fix) the issue.

js bibra · Answer

IMHO that the picture/image can be directly placed as a node in tikz rather than a separate begingroup
If I know the precise position of the page corner (red circle)
node[inner sep=0pt, circle,red,fill,draw, minimum size=6pt] at 
(%
$(current page text area.south west)+
 (-0.75in,-0.6in)$
 ){};

then I can calculate precisely any other position-- in your case V and h  by incrementing equal amount from the x and y side
node[inner sep=0pt, circle,red,fill,draw, minimum size=6pt] at (%
$(current page text area.south west)+
% (-0.75in,-0.6in)+<------------------increment v=.2in h=.2in from each side
 (-0.55in,-0.4in)$){};

documentclass[letterpaper]{book}
usepackage[T1]{fontenc}
usepackage{microtype}
usepackage{libertine}
renewcommand*familydefault{sfdefault}
usepackage{anysize}
marginsize{1.5in}{1in}{0.5in}{0.5in}
usepackage[x11names]{xcolor}
definecolor{backgroundcolor}{RGB}{150, 170, 190}
usepackage{graphicx}
usepackage{here}
usepackage{afterpage}
usepackage{tikz}
usetikzlibrary{calc}
usepackage{tikzpagenodes}

newcommand*{maintitle}{begingroup%
    pagecolor{backgroundcolor}
    vfill
    raggedleft {huge Name}
    begin{figure}[H]
        center
        includegraphics[width=1textwidth]{example-image}
    end{figure}
endgroup}%

begin{document}

begin{titlepage}

% CADRE :
    begin{tikzpicture}[remember picture, overlay]
        draw[line width = 1in,color = white] ($(current page.north west) + 
        (0.25in,0.25in)$) rectangle ($(current page.south east) + (0.25in,-0.25in)$);
        draw[line width = 0.25pt,color = black] ($(current page.north west) + 
        (0.75in,-0.25in)$) rectangle ($(current page.south east) + (-0.25in,0.25in)$);
        draw[line width = 1pt,color = white] ($(current page.north west) + 
     (1in,-0.5in)$) rectangle ($(current page.south east) + (-0.5in,0.5in)$);
    end{tikzpicture}

maintitle
begin{tikzpicture}[remember picture,overlay]
node[inner sep=0pt, circle,red,fill,draw, minimum size=6pt] at 
(%
$(current page text area.south west)+
 (-0.75in,-0.6in)$
 ){};
node[inner sep=0pt, circle,red,fill,draw, minimum size=6pt] at (%
$(current page text area.south west)+
% (-0.75in,-0.6in)+
 (-0.55in,-0.4in)$){};

%node at (0,0) {includegraphics[width=4cm]{example-image}};
end{tikzpicture}
end{titlepage}

end{document}

edit
I forgot to include the image
node[inner sep=0pt] at (%
$(current page text area.south west)+
% (-0.75in,-0.6in)+
(-0.55in,-0.4in)$){includegraphics[scale=0.2]{example-image}};

MWE
documentclass[letterpaper]{book}
usepackage[T1]{fontenc}
usepackage{microtype}
usepackage{libertine}
renewcommand*familydefault{sfdefault}
usepackage{anysize}
marginsize{1.5in}{1in}{0.5in}{0.5in}
usepackage[x11names]{xcolor}
definecolor{backgroundcolor}{RGB}{150, 170, 190}
usepackage{graphicx}
usepackage{here}
usepackage{afterpage}
usepackage{tikz}
usetikzlibrary{calc}
usepackage{tikzpagenodes}

newcommand*{maintitle}{begingroup%
    pagecolor{backgroundcolor}
    vfill
    raggedleft {huge Name}
    begin{figure}[H]
        center
        includegraphics[width=1textwidth]{example-image}
    end{figure}
endgroup}%

begin{document}

begin{titlepage}

% CADRE :
    begin{tikzpicture}[remember picture, overlay]
        draw[line width = 1in,color = blue] ($(current page.north west) + (0.25in,0.25in)$) rectangle ($(current page.south east) + (0.25in,-0.25in)$);
        draw[line width = 0.25pt,color = black] ($(current page.north west) + (0.75in,-0.25in)$) rectangle ($(current page.south east) + (-0.25in,0.25in)$);
        draw[line width = 1pt,color = green] ($(current page.north west) + (1in,-0.5in)$) rectangle ($(current page.south east) + (-0.5in,0.5in)$);
    end{tikzpicture}

%    maintitle
begin{tikzpicture}[remember picture,overlay]
node[inner sep=0pt, circle,red,fill,draw, minimum size=6pt] at 
(%
$(current page text area.south west)+
 (-0.75in,-0.6in)$
 ){};
node[inner sep=0pt, circle,red,fill,draw, minimum size=6pt] at (%
$(current page text area.south west)+
% (-0.75in,-0.6in)+
 (-0.55in,-0.4in)$){};

node[inner sep=0pt] at (%
$(current page text area.south west)+
% (-0.75in,-0.6in)+
(-0.55in,-0.4in)$){includegraphics[scale=0.2]{example-image}};

%node at (0,0) {includegraphics[width=4cm]{example-image}};
end{tikzpicture}
end{titlepage}

end{document}

If you see now you get better precision with tikz and removing the maketitle as also similarly commented by @HenriMenke
EDIT2

documentclass[letterpaper]{book}
usepackage[T1]{fontenc}
usepackage{microtype}
usepackage{libertine}
renewcommand*familydefault{sfdefault}
usepackage{anysize}
marginsize{1.5in}{1in}{0.5in}{0.5in}
usepackage[x11names]{xcolor}
definecolor{backgroundcolor}{RGB}{150, 170, 190}
usepackage{graphicx}
usepackage{here}
usepackage{afterpage}
usepackage{tikz}
usetikzlibrary{calc,positioning}
usepackage{tikzpagenodes}

%newcommand*{maintitle}{begingroup%
%   pagecolor{backgroundcolor}
%   vfill
%   raggedleft {huge Name}
%   begin{figure}[H]
%       center
%       includegraphics[width=1textwidth]{example-image}
%   end{figure}
%   endgroup}%

begin{document}
        pagecolor{backgroundcolor}
    begin{titlepage}

begin{tikzpicture}[remember picture, overlay]
        draw[line width = 1in,color = blue!30] ($(current page.north west) + (0.25in,0.25in)$) rectangle ($(current page.south east) + (0.25in,-0.25in)$);
        draw[line width = 0.25pt,color = black] ($(current page.north west) + (0.75in,-0.25in)$) rectangle ($(current page.south east) + (-0.25in,0.25in)$);
        draw[line width = 1pt,color = green] ($(current page.north west) + (1in,-0.5in)$) rectangle ($(current page.south east) + (-0.5in,0.5in)$);
        end{tikzpicture}

begin{tikzpicture}[remember picture,overlay, every label/.style=left,]
        node[name=temp1, inner sep=0pt, circle,red,fill,draw, minimum size=6pt,anchor=center, label=a] at 
        (%
        $(current page text area.south west)+
        (-0.75in,-0.6in)$
        ){} ;
        
        node[name=temp2,inner sep=0pt, circle,red,fill,draw, minimum size=6pt,anchor=center, label=b] at (%
        $(current page text area.south west)+
        % (-0.75in,-0.6in)+
        (-0.05in,0.1in)$){};
        
        node[name=temp3,inner sep=0pt, circle,red,fill,draw, minimum size=6pt, label=c] at (%
        $(current page text area.south west)+
        % (-0.75in,-0.6in)+
        (-0.05in,-0.6in)$){};
        
        node[name=temp4,inner sep=0pt, circle,red,fill,draw, minimum size=6pt, label=d] at (%
        $(current page text area.south west)+
        % (-0.75in,-0.6in)+
        (-0.75in,0.1in)$){};
        
        node[name=temp5,inner sep=0pt, anchor=south west] at (%
        $(current page text area.south west)+
        % (-0.75in,-0.6in)+
        (-0.05in,0.1in)$)(b){includegraphics[scale=1,width=linewidth]{example-image}} node[above=of b.north, yshift=-1cm, xshift=7cm ](){Large Name};
        
        draw(temp2)--node[midway, fill=white]{0.7in}(temp4);
        draw(temp2)--node[midway, fill=white]{0.7in}(temp3);

end{tikzpicture}
    end{titlepage}
    
end{document}

Henri Menke · Answer

It's maybe a bit easier to use eso-pic to draw on the page background.  This also only requires compiling once.  The dimensions are not the same as yours but I'm sure you can figure it out.
documentclass[letterpaper]{book}
usepackage{eso-pic}
usepackage{tikz}
usepackage{xcolor}
definecolor{backgroundcolor}{RGB}{150,170,190}

begin{document}

AddToShipoutPictureBG*{%
    AtTextLowerLeft{%
        begin{tikzpicture}[overlay]
            coordinate (ll) at (0,0);
            coordinate (ur) at (textwidth,textheight);
            draw[black,fill=backgroundcolor] ([shift={(-1in,-1in)}]ll) rectangle ([shift={(1in,1in)}]ur);
            draw[white] ([shift={(-.25in,-.25in)}]ll) rectangle ([shift={(.25in,.25in)}]ur);
            useasboundingbox (ll) rectangle (ur);
        end{tikzpicture}%
    }%
}

begin{titlepage}
    raggedleft
    leavevmode
    vfill
    huge Namepar
    includegraphics[width=1textwidth]{example-image}
end{titlepage}

end{document}

How to remove a small vertical gap below picture?

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